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Finding the Third Proportional to 291,141 and 636,591

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Solution

The third proportional to 291,141 and 636,591 is: 1,391,930.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,141 : 636,591 = 636,591 : x
  2. Step 2: Convert to fraction form
    291,141/636,591 = 636,591/x
  3. Step 3: Cross multiply
    291,141x = 636,591 × 636,591
  4. Step 4: Simplify right side
    291,141x = 405,248,101,281
  5. Step 5: Solve for x
    x = 405,248,101,281/291,141
  6. Step 6: Final answer
    x = 1,391,930.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.