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Finding the Third Proportional to 406,104.50 and 631,305.50

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Solution

The third proportional to 406,104.50 and 631,305.50 is: 981,389.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,104.50 : 631,305.50 = 631,305.50 : x
  2. Step 2: Convert to fraction form
    406,104.50/631,305.50 = 631,305.50/x
  3. Step 3: Cross multiply
    406,104.50x = 631,305.50 × 631,305.50
  4. Step 4: Simplify right side
    406,104.50x = 398,546,634,330.25
  5. Step 5: Solve for x
    x = 398,546,634,330.25/406,104.50
  6. Step 6: Final answer
    x = 981,389.36

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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.