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Finding the Third Proportional to 406,690 and 613,235

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Solution

The third proportional to 406,690 and 613,235 is: 924,677.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,690 : 613,235 = 613,235 : x
  2. Step 2: Convert to fraction form
    406,690/613,235 = 613,235/x
  3. Step 3: Cross multiply
    406,690x = 613,235 × 613,235
  4. Step 4: Simplify right side
    406,690x = 376,057,165,225
  5. Step 5: Solve for x
    x = 376,057,165,225/406,690
  6. Step 6: Final answer
    x = 924,677.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.