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Finding the Third Proportional to 99,535 and 216,565

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Solution

The third proportional to 99,535 and 216,565 is: 471,195.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,535 : 216,565 = 216,565 : x
  2. Step 2: Convert to fraction form
    99,535/216,565 = 216,565/x
  3. Step 3: Cross multiply
    99,535x = 216,565 × 216,565
  4. Step 4: Simplify right side
    99,535x = 46,900,399,225
  5. Step 5: Solve for x
    x = 46,900,399,225/99,535
  6. Step 6: Final answer
    x = 471,195.05

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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.