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Finding the Third Proportional to 521,478 and 1,098,997.88

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Solution

The third proportional to 521,478 and 1,098,997.88 is: 2,316,102.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,478 : 1,098,997.88 = 1,098,997.88 : x
  2. Step 2: Convert to fraction form
    521,478/1,098,997.88 = 1,098,997.88/x
  3. Step 3: Cross multiply
    521,478x = 1,098,997.88 × 1,098,997.88
  4. Step 4: Simplify right side
    521,478x = 1,207,796,329,254.52
  5. Step 5: Solve for x
    x = 1,207,796,329,254.52/521,478
  6. Step 6: Final answer
    x = 2,316,102.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.