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Finding the Third Proportional to 291,202 and 391,309

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Solution

The third proportional to 291,202 and 391,309 is: 525,829.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,202 : 391,309 = 391,309 : x
  2. Step 2: Convert to fraction form
    291,202/391,309 = 391,309/x
  3. Step 3: Cross multiply
    291,202x = 391,309 × 391,309
  4. Step 4: Simplify right side
    291,202x = 153,122,733,481
  5. Step 5: Solve for x
    x = 153,122,733,481/291,202
  6. Step 6: Final answer
    x = 525,829.95

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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.