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Finding the Third Proportional to 99,861.61 and 216,342.14

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Solution

The third proportional to 99,861.61 and 216,342.14 is: 468,687.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,861.61 : 216,342.14 = 216,342.14 : x
  2. Step 2: Convert to fraction form
    99,861.61/216,342.14 = 216,342.14/x
  3. Step 3: Cross multiply
    99,861.61x = 216,342.14 × 216,342.14
  4. Step 4: Simplify right side
    99,861.61x = 46,803,921,810.21
  5. Step 5: Solve for x
    x = 46,803,921,810.21/99,861.61
  6. Step 6: Final answer
    x = 468,687.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.