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Finding the Third Proportional to 132,818 and 285,320

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Solution

The third proportional to 132,818 and 285,320 is: 612,925.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,818 : 285,320 = 285,320 : x
  2. Step 2: Convert to fraction form
    132,818/285,320 = 285,320/x
  3. Step 3: Cross multiply
    132,818x = 285,320 × 285,320
  4. Step 4: Simplify right side
    132,818x = 81,407,502,400
  5. Step 5: Solve for x
    x = 81,407,502,400/132,818
  6. Step 6: Final answer
    x = 612,925.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.