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Finding the Third Proportional to 870,834 and 1,319,373

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Solution

The third proportional to 870,834 and 1,319,373 is: 1,998,940.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,834 : 1,319,373 = 1,319,373 : x
  2. Step 2: Convert to fraction form
    870,834/1,319,373 = 1,319,373/x
  3. Step 3: Cross multiply
    870,834x = 1,319,373 × 1,319,373
  4. Step 4: Simplify right side
    870,834x = 1,740,745,113,129
  5. Step 5: Solve for x
    x = 1,740,745,113,129/870,834
  6. Step 6: Final answer
    x = 1,998,940.23

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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.