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Finding the Third Proportional to 870,698 and 1,319,188

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Solution

The third proportional to 870,698 and 1,319,188 is: 1,998,691.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,698 : 1,319,188 = 1,319,188 : x
  2. Step 2: Convert to fraction form
    870,698/1,319,188 = 1,319,188/x
  3. Step 3: Cross multiply
    870,698x = 1,319,188 × 1,319,188
  4. Step 4: Simplify right side
    870,698x = 1,740,256,979,344
  5. Step 5: Solve for x
    x = 1,740,256,979,344/870,698
  6. Step 6: Final answer
    x = 1,998,691.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.