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Finding the Third Proportional to 645,762 and 902,811

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Solution

The third proportional to 645,762 and 902,811 is: 1,262,179.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,762 : 902,811 = 902,811 : x
  2. Step 2: Convert to fraction form
    645,762/902,811 = 902,811/x
  3. Step 3: Cross multiply
    645,762x = 902,811 × 902,811
  4. Step 4: Simplify right side
    645,762x = 815,067,701,721
  5. Step 5: Solve for x
    x = 815,067,701,721/645,762
  6. Step 6: Final answer
    x = 1,262,179.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.