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Finding the Third Proportional to 478,892.25 and 717,018.75

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Solution

The third proportional to 478,892.25 and 717,018.75 is: 1,073,552.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,892.25 : 717,018.75 = 717,018.75 : x
  2. Step 2: Convert to fraction form
    478,892.25/717,018.75 = 717,018.75/x
  3. Step 3: Cross multiply
    478,892.25x = 717,018.75 × 717,018.75
  4. Step 4: Simplify right side
    478,892.25x = 514,115,887,851.56
  5. Step 5: Solve for x
    x = 514,115,887,851.56/478,892.25
  6. Step 6: Final answer
    x = 1,073,552.32

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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.