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Finding the Third Proportional to 99,712 and 216,920

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Solution

The third proportional to 99,712 and 216,920 is: 471,901.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,712 : 216,920 = 216,920 : x
  2. Step 2: Convert to fraction form
    99,712/216,920 = 216,920/x
  3. Step 3: Cross multiply
    99,712x = 216,920 × 216,920
  4. Step 4: Simplify right side
    99,712x = 47,054,286,400
  5. Step 5: Solve for x
    x = 47,054,286,400/99,712
  6. Step 6: Final answer
    x = 471,901.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.