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Finding the Third Proportional to 291,270 and 452,451

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Solution

The third proportional to 291,270 and 452,451 is: 702,825.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,270 : 452,451 = 452,451 : x
  2. Step 2: Convert to fraction form
    291,270/452,451 = 452,451/x
  3. Step 3: Cross multiply
    291,270x = 452,451 × 452,451
  4. Step 4: Simplify right side
    291,270x = 204,711,907,401
  5. Step 5: Solve for x
    x = 204,711,907,401/291,270
  6. Step 6: Final answer
    x = 702,825.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.