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Finding the Third Proportional to 425,686.50 and 917,811

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Solution

The third proportional to 425,686.50 and 917,811 is: 1,978,867.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,686.50 : 917,811 = 917,811 : x
  2. Step 2: Convert to fraction form
    425,686.50/917,811 = 917,811/x
  3. Step 3: Cross multiply
    425,686.50x = 917,811 × 917,811
  4. Step 4: Simplify right side
    425,686.50x = 842,377,031,721
  5. Step 5: Solve for x
    x = 842,377,031,721/425,686.50
  6. Step 6: Final answer
    x = 1,978,867.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.