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Finding the Third Proportional to 504,000 and 672,480

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Solution

The third proportional to 504,000 and 672,480 is: 897,280.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,000 : 672,480 = 672,480 : x
  2. Step 2: Convert to fraction form
    504,000/672,480 = 672,480/x
  3. Step 3: Cross multiply
    504,000x = 672,480 × 672,480
  4. Step 4: Simplify right side
    504,000x = 452,229,350,400
  5. Step 5: Solve for x
    x = 452,229,350,400/504,000
  6. Step 6: Final answer
    x = 897,280.46

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.