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Finding the Third Proportional to 870,764 and 1,319,271

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Solution

The third proportional to 870,764 and 1,319,271 is: 1,998,791.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,764 : 1,319,271 = 1,319,271 : x
  2. Step 2: Convert to fraction form
    870,764/1,319,271 = 1,319,271/x
  3. Step 3: Cross multiply
    870,764x = 1,319,271 × 1,319,271
  4. Step 4: Simplify right side
    870,764x = 1,740,475,971,441
  5. Step 5: Solve for x
    x = 1,740,475,971,441/870,764
  6. Step 6: Final answer
    x = 1,998,791.83

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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.