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Finding the Third Proportional to 132,518 and 288,364

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Solution

The third proportional to 132,518 and 288,364 is: 627,490.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,518 : 288,364 = 288,364 : x
  2. Step 2: Convert to fraction form
    132,518/288,364 = 288,364/x
  3. Step 3: Cross multiply
    132,518x = 288,364 × 288,364
  4. Step 4: Simplify right side
    132,518x = 83,153,796,496
  5. Step 5: Solve for x
    x = 83,153,796,496/132,518
  6. Step 6: Final answer
    x = 627,490.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.