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Finding the Third Proportional to 391,676 and 528,464

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Solution

The third proportional to 391,676 and 528,464 is: 713,023.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,676 : 528,464 = 528,464 : x
  2. Step 2: Convert to fraction form
    391,676/528,464 = 528,464/x
  3. Step 3: Cross multiply
    391,676x = 528,464 × 528,464
  4. Step 4: Simplify right side
    391,676x = 279,274,199,296
  5. Step 5: Solve for x
    x = 279,274,199,296/391,676
  6. Step 6: Final answer
    x = 713,023.52

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.