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Finding the Third Proportional to 285,120 and 625,132.69

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Solution

The third proportional to 285,120 and 625,132.69 is: 1,370,618.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,120 : 625,132.69 = 625,132.69 : x
  2. Step 2: Convert to fraction form
    285,120/625,132.69 = 625,132.69/x
  3. Step 3: Cross multiply
    285,120x = 625,132.69 × 625,132.69
  4. Step 4: Simplify right side
    285,120x = 390,790,876,980.97
  5. Step 5: Solve for x
    x = 390,790,876,980.97/285,120
  6. Step 6: Final answer
    x = 1,370,618.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.