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Finding the Third Proportional to 147,789 and 216,441

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Solution

The third proportional to 147,789 and 216,441 is: 316,983.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,789 : 216,441 = 216,441 : x
  2. Step 2: Convert to fraction form
    147,789/216,441 = 216,441/x
  3. Step 3: Cross multiply
    147,789x = 216,441 × 216,441
  4. Step 4: Simplify right side
    147,789x = 46,846,706,481
  5. Step 5: Solve for x
    x = 46,846,706,481/147,789
  6. Step 6: Final answer
    x = 316,983.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.