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Finding the Third Proportional to 870,659 and 1,319,155

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Solution

The third proportional to 870,659 and 1,319,155 is: 1,998,681.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,659 : 1,319,155 = 1,319,155 : x
  2. Step 2: Convert to fraction form
    870,659/1,319,155 = 1,319,155/x
  3. Step 3: Cross multiply
    870,659x = 1,319,155 × 1,319,155
  4. Step 4: Simplify right side
    870,659x = 1,740,169,914,025
  5. Step 5: Solve for x
    x = 1,740,169,914,025/870,659
  6. Step 6: Final answer
    x = 1,998,681.36

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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.