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Finding the Third Proportional to 81,572 and 118,802

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Solution

The third proportional to 81,572 and 118,802 is: 173,024.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,572 : 118,802 = 118,802 : x
  2. Step 2: Convert to fraction form
    81,572/118,802 = 118,802/x
  3. Step 3: Cross multiply
    81,572x = 118,802 × 118,802
  4. Step 4: Simplify right side
    81,572x = 14,113,915,204
  5. Step 5: Solve for x
    x = 14,113,915,204/81,572
  6. Step 6: Final answer
    x = 173,024.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.