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Finding the Third Proportional to 391,654 and 528,426

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Solution

The third proportional to 391,654 and 528,426 is: 712,961.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,654 : 528,426 = 528,426 : x
  2. Step 2: Convert to fraction form
    391,654/528,426 = 528,426/x
  3. Step 3: Cross multiply
    391,654x = 528,426 × 528,426
  4. Step 4: Simplify right side
    391,654x = 279,234,037,476
  5. Step 5: Solve for x
    x = 279,234,037,476/391,654
  6. Step 6: Final answer
    x = 712,961.03

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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.