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Finding the Third Proportional to 155,724 and 240,591

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Solution

The third proportional to 155,724 and 240,591 is: 371,709.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,724 : 240,591 = 240,591 : x
  2. Step 2: Convert to fraction form
    155,724/240,591 = 240,591/x
  3. Step 3: Cross multiply
    155,724x = 240,591 × 240,591
  4. Step 4: Simplify right side
    155,724x = 57,884,029,281
  5. Step 5: Solve for x
    x = 57,884,029,281/155,724
  6. Step 6: Final answer
    x = 371,709.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.