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Finding the Third Proportional to 262,600 and 407,376

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Solution

The third proportional to 262,600 and 407,376 is: 631,969.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,600 : 407,376 = 407,376 : x
  2. Step 2: Convert to fraction form
    262,600/407,376 = 407,376/x
  3. Step 3: Cross multiply
    262,600x = 407,376 × 407,376
  4. Step 4: Simplify right side
    262,600x = 165,955,205,376
  5. Step 5: Solve for x
    x = 165,955,205,376/262,600
  6. Step 6: Final answer
    x = 631,969.56

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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.