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Finding the Third Proportional to 435,375 and 672,480

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Solution

The third proportional to 435,375 and 672,480 is: 1,038,712.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,375 : 672,480 = 672,480 : x
  2. Step 2: Convert to fraction form
    435,375/672,480 = 672,480/x
  3. Step 3: Cross multiply
    435,375x = 672,480 × 672,480
  4. Step 4: Simplify right side
    435,375x = 452,229,350,400
  5. Step 5: Solve for x
    x = 452,229,350,400/435,375
  6. Step 6: Final answer
    x = 1,038,712.26

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.