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Finding the Third Proportional to 132,392 and 288,080

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Solution

The third proportional to 132,392 and 288,080 is: 626,851.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,392 : 288,080 = 288,080 : x
  2. Step 2: Convert to fraction form
    132,392/288,080 = 288,080/x
  3. Step 3: Cross multiply
    132,392x = 288,080 × 288,080
  4. Step 4: Simplify right side
    132,392x = 82,990,086,400
  5. Step 5: Solve for x
    x = 82,990,086,400/132,392
  6. Step 6: Final answer
    x = 626,851.22

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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.