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Finding the Third Proportional to 100,428 and 216,416

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Solution

The third proportional to 100,428 and 216,416 is: 466,362.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,428 : 216,416 = 216,416 : x
  2. Step 2: Convert to fraction form
    100,428/216,416 = 216,416/x
  3. Step 3: Cross multiply
    100,428x = 216,416 × 216,416
  4. Step 4: Simplify right side
    100,428x = 46,835,885,056
  5. Step 5: Solve for x
    x = 46,835,885,056/100,428
  6. Step 6: Final answer
    x = 466,362.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.