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Finding the Third Proportional to 291,260 and 391,468

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Solution

The third proportional to 291,260 and 391,468 is: 526,152.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,260 : 391,468 = 391,468 : x
  2. Step 2: Convert to fraction form
    291,260/391,468 = 391,468/x
  3. Step 3: Cross multiply
    291,260x = 391,468 × 391,468
  4. Step 4: Simplify right side
    291,260x = 153,247,195,024
  5. Step 5: Solve for x
    x = 153,247,195,024/291,260
  6. Step 6: Final answer
    x = 526,152.56

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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.