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Finding the Third Proportional to 385,346 and 613,690

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Solution

The third proportional to 385,346 and 613,690 is: 977,343.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,346 : 613,690 = 613,690 : x
  2. Step 2: Convert to fraction form
    385,346/613,690 = 613,690/x
  3. Step 3: Cross multiply
    385,346x = 613,690 × 613,690
  4. Step 4: Simplify right side
    385,346x = 376,615,416,100
  5. Step 5: Solve for x
    x = 376,615,416,100/385,346
  6. Step 6: Final answer
    x = 977,343.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.