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Finding the Third Proportional to 487,998.75 and 729,126.38

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Solution

The third proportional to 487,998.75 and 729,126.38 is: 1,089,398.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,998.75 : 729,126.38 = 729,126.38 : x
  2. Step 2: Convert to fraction form
    487,998.75/729,126.38 = 729,126.38/x
  3. Step 3: Cross multiply
    487,998.75x = 729,126.38 × 729,126.38
  4. Step 4: Simplify right side
    487,998.75x = 531,625,270,720.64
  5. Step 5: Solve for x
    x = 531,625,270,720.64/487,998.75
  6. Step 6: Final answer
    x = 1,089,398.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.