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Finding the Third Proportional to 100,470.28 and 216,715.08

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Solution

The third proportional to 100,470.28 and 216,715.08 is: 467,455.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,470.28 : 216,715.08 = 216,715.08 : x
  2. Step 2: Convert to fraction form
    100,470.28/216,715.08 = 216,715.08/x
  3. Step 3: Cross multiply
    100,470.28x = 216,715.08 × 216,715.08
  4. Step 4: Simplify right side
    100,470.28x = 46,965,425,086.72
  5. Step 5: Solve for x
    x = 46,965,425,086.72/100,470.28
  6. Step 6: Final answer
    x = 467,455.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.