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Finding the Third Proportional to 687,990 and 1,062,657

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Solution

The third proportional to 687,990 and 1,062,657 is: 1,641,360.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,990 : 1,062,657 = 1,062,657 : x
  2. Step 2: Convert to fraction form
    687,990/1,062,657 = 1,062,657/x
  3. Step 3: Cross multiply
    687,990x = 1,062,657 × 1,062,657
  4. Step 4: Simplify right side
    687,990x = 1,129,239,899,649
  5. Step 5: Solve for x
    x = 1,129,239,899,649/687,990
  6. Step 6: Final answer
    x = 1,641,360.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.