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Finding the Third Proportional to 429,452,236,293 and 934,303,466,953

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Solution

The third proportional to 429,452,236,293 and 934,303,466,953 is: 2,032,642,735,535.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,452,236,293 : 934,303,466,953 = 934,303,466,953 : x
  2. Step 2: Convert to fraction form
    429,452,236,293/934,303,466,953 = 934,303,466,953/x
  3. Step 3: Cross multiply
    429,452,236,293x = 934,303,466,953 × 934,303,466,953
  4. Step 4: Simplify right side
    429,452,236,293x = 872,922,968,360,395,575,656,448
  5. Step 5: Solve for x
    x = 872,922,968,360,395,575,656,448/429,452,236,293
  6. Step 6: Final answer
    x = 2,032,642,735,535.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.