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Finding the Third Proportional to 120,628.50 and 177,432

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Solution

The third proportional to 120,628.50 and 177,432 is: 260,984.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,628.50 : 177,432 = 177,432 : x
  2. Step 2: Convert to fraction form
    120,628.50/177,432 = 177,432/x
  3. Step 3: Cross multiply
    120,628.50x = 177,432 × 177,432
  4. Step 4: Simplify right side
    120,628.50x = 31,482,114,624
  5. Step 5: Solve for x
    x = 31,482,114,624/120,628.50
  6. Step 6: Final answer
    x = 260,984.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.