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Finding the Third Proportional to 259,780.50 and 406,073.25

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Solution

The third proportional to 259,780.50 and 406,073.25 is: 634,749.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,780.50 : 406,073.25 = 406,073.25 : x
  2. Step 2: Convert to fraction form
    259,780.50/406,073.25 = 406,073.25/x
  3. Step 3: Cross multiply
    259,780.50x = 406,073.25 × 406,073.25
  4. Step 4: Simplify right side
    259,780.50x = 164,895,484,365.56
  5. Step 5: Solve for x
    x = 164,895,484,365.56/259,780.50
  6. Step 6: Final answer
    x = 634,749.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.