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Finding the Third Proportional to 44,956 and 98,552

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Solution

The third proportional to 44,956 and 98,552 is: 216,044.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,956 : 98,552 = 98,552 : x
  2. Step 2: Convert to fraction form
    44,956/98,552 = 98,552/x
  3. Step 3: Cross multiply
    44,956x = 98,552 × 98,552
  4. Step 4: Simplify right side
    44,956x = 9,712,496,704
  5. Step 5: Solve for x
    x = 9,712,496,704/44,956
  6. Step 6: Final answer
    x = 216,044.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.