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Finding the Third Proportional to 155,616 and 240,716

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Solution

The third proportional to 155,616 and 240,716 is: 372,353.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,616 : 240,716 = 240,716 : x
  2. Step 2: Convert to fraction form
    155,616/240,716 = 240,716/x
  3. Step 3: Cross multiply
    155,616x = 240,716 × 240,716
  4. Step 4: Simplify right side
    155,616x = 57,944,192,656
  5. Step 5: Solve for x
    x = 57,944,192,656/155,616
  6. Step 6: Final answer
    x = 372,353.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.