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Finding the Third Proportional to 391,692 and 528,486

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Solution

The third proportional to 391,692 and 528,486 is: 713,053.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,692 : 528,486 = 528,486 : x
  2. Step 2: Convert to fraction form
    391,692/528,486 = 528,486/x
  3. Step 3: Cross multiply
    391,692x = 528,486 × 528,486
  4. Step 4: Simplify right side
    391,692x = 279,297,452,196
  5. Step 5: Solve for x
    x = 279,297,452,196/391,692
  6. Step 6: Final answer
    x = 713,053.76

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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.