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Finding the Third Proportional to 902,786 and 1,371,909

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Solution

The third proportional to 902,786 and 1,371,909 is: 2,084,806.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,786 : 1,371,909 = 1,371,909 : x
  2. Step 2: Convert to fraction form
    902,786/1,371,909 = 1,371,909/x
  3. Step 3: Cross multiply
    902,786x = 1,371,909 × 1,371,909
  4. Step 4: Simplify right side
    902,786x = 1,882,134,304,281
  5. Step 5: Solve for x
    x = 1,882,134,304,281/902,786
  6. Step 6: Final answer
    x = 2,084,806.70

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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.