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Finding the Third Proportional to 406,840 and 613,230

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Solution

The third proportional to 406,840 and 613,230 is: 924,321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,840 : 613,230 = 613,230 : x
  2. Step 2: Convert to fraction form
    406,840/613,230 = 613,230/x
  3. Step 3: Cross multiply
    406,840x = 613,230 × 613,230
  4. Step 4: Simplify right side
    406,840x = 376,051,032,900
  5. Step 5: Solve for x
    x = 376,051,032,900/406,840
  6. Step 6: Final answer
    x = 924,321.68

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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.