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Finding the Third Proportional to 486,387.28 and 692,866.41

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Solution

The third proportional to 486,387.28 and 692,866.41 is: 986,999.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,387.28 : 692,866.41 = 692,866.41 : x
  2. Step 2: Convert to fraction form
    486,387.28/692,866.41 = 692,866.41/x
  3. Step 3: Cross multiply
    486,387.28x = 692,866.41 × 692,866.41
  4. Step 4: Simplify right side
    486,387.28x = 480,063,856,909.79
  5. Step 5: Solve for x
    x = 480,063,856,909.79/486,387.28
  6. Step 6: Final answer
    x = 986,999.20

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.