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Finding the Third Proportional to 291,200 and 391,306

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Solution

The third proportional to 291,200 and 391,306 is: 525,825.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,200 : 391,306 = 391,306 : x
  2. Step 2: Convert to fraction form
    291,200/391,306 = 391,306/x
  3. Step 3: Cross multiply
    291,200x = 391,306 × 391,306
  4. Step 4: Simplify right side
    291,200x = 153,120,385,636
  5. Step 5: Solve for x
    x = 153,120,385,636/291,200
  6. Step 6: Final answer
    x = 525,825.50

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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.