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Finding the Third Proportional to 406,129.50 and 631,405.50

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Solution

The third proportional to 406,129.50 and 631,405.50 is: 981,639.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,129.50 : 631,405.50 = 631,405.50 : x
  2. Step 2: Convert to fraction form
    406,129.50/631,405.50 = 631,405.50/x
  3. Step 3: Cross multiply
    406,129.50x = 631,405.50 × 631,405.50
  4. Step 4: Simplify right side
    406,129.50x = 398,672,905,430.25
  5. Step 5: Solve for x
    x = 398,672,905,430.25/406,129.50
  6. Step 6: Final answer
    x = 981,639.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.