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Finding the Third Proportional to 291,262 and 391,471

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Solution

The third proportional to 291,262 and 391,471 is: 526,157.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,262 : 391,471 = 391,471 : x
  2. Step 2: Convert to fraction form
    291,262/391,471 = 391,471/x
  3. Step 3: Cross multiply
    291,262x = 391,471 × 391,471
  4. Step 4: Simplify right side
    291,262x = 153,249,543,841
  5. Step 5: Solve for x
    x = 153,249,543,841/291,262
  6. Step 6: Final answer
    x = 526,157.01

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.