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Finding the Third Proportional to 338,109,656 and 517,220,124

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Solution

The third proportional to 338,109,656 and 517,220,124 is: 791,212,708.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,109,656 : 517,220,124 = 517,220,124 : x
  2. Step 2: Convert to fraction form
    338,109,656/517,220,124 = 517,220,124/x
  3. Step 3: Cross multiply
    338,109,656x = 517,220,124 × 517,220,124
  4. Step 4: Simplify right side
    338,109,656x = 267,516,656,670,575,360
  5. Step 5: Solve for x
    x = 267,516,656,670,575,360/338,109,656
  6. Step 6: Final answer
    x = 791,212,708.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.