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Finding the Third Proportional to 385,289 and 613,607

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Solution

The third proportional to 385,289 and 613,607 is: 977,223.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,289 : 613,607 = 613,607 : x
  2. Step 2: Convert to fraction form
    385,289/613,607 = 613,607/x
  3. Step 3: Cross multiply
    385,289x = 613,607 × 613,607
  4. Step 4: Simplify right side
    385,289x = 376,513,550,449
  5. Step 5: Solve for x
    x = 376,513,550,449/385,289
  6. Step 6: Final answer
    x = 977,223.72

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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.