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Finding the Third Proportional to 155,696 and 240,808

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Solution

The third proportional to 155,696 and 240,808 is: 372,446.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,696 : 240,808 = 240,808 : x
  2. Step 2: Convert to fraction form
    155,696/240,808 = 240,808/x
  3. Step 3: Cross multiply
    155,696x = 240,808 × 240,808
  4. Step 4: Simplify right side
    155,696x = 57,988,492,864
  5. Step 5: Solve for x
    x = 57,988,492,864/155,696
  6. Step 6: Final answer
    x = 372,446.90

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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.