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Finding the Third Proportional to 478,892.38 and 717,018.94

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Solution

The third proportional to 478,892.38 and 717,018.94 is: 1,073,552.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,892.38 : 717,018.94 = 717,018.94 : x
  2. Step 2: Convert to fraction form
    478,892.38/717,018.94 = 717,018.94/x
  3. Step 3: Cross multiply
    478,892.38x = 717,018.94 × 717,018.94
  4. Step 4: Simplify right side
    478,892.38x = 514,116,156,733.63
  5. Step 5: Solve for x
    x = 514,116,156,733.63/478,892.38
  6. Step 6: Final answer
    x = 1,073,552.61

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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.