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Finding the Third Proportional to 119,400 and 177,432

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Solution

The third proportional to 119,400 and 177,432 is: 263,669.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,400 : 177,432 = 177,432 : x
  2. Step 2: Convert to fraction form
    119,400/177,432 = 177,432/x
  3. Step 3: Cross multiply
    119,400x = 177,432 × 177,432
  4. Step 4: Simplify right side
    119,400x = 31,482,114,624
  5. Step 5: Solve for x
    x = 31,482,114,624/119,400
  6. Step 6: Final answer
    x = 263,669.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.