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Finding the Third Proportional to 371,760 and 558,480

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Solution

The third proportional to 371,760 and 558,480 is: 838,981.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,760 : 558,480 = 558,480 : x
  2. Step 2: Convert to fraction form
    371,760/558,480 = 558,480/x
  3. Step 3: Cross multiply
    371,760x = 558,480 × 558,480
  4. Step 4: Simplify right side
    371,760x = 311,899,910,400
  5. Step 5: Solve for x
    x = 311,899,910,400/371,760
  6. Step 6: Final answer
    x = 838,981.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.