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Finding the Third Proportional to 406,086 and 609,129

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Solution

The third proportional to 406,086 and 609,129 is: 913,693.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,086 : 609,129 = 609,129 : x
  2. Step 2: Convert to fraction form
    406,086/609,129 = 609,129/x
  3. Step 3: Cross multiply
    406,086x = 609,129 × 609,129
  4. Step 4: Simplify right side
    406,086x = 371,038,138,641
  5. Step 5: Solve for x
    x = 371,038,138,641/406,086
  6. Step 6: Final answer
    x = 913,693.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.