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Finding the Third Proportional to 285,121.50 and 662,979

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Solution

The third proportional to 285,121.50 and 662,979 is: 1,541,592.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,121.50 : 662,979 = 662,979 : x
  2. Step 2: Convert to fraction form
    285,121.50/662,979 = 662,979/x
  3. Step 3: Cross multiply
    285,121.50x = 662,979 × 662,979
  4. Step 4: Simplify right side
    285,121.50x = 439,541,154,441
  5. Step 5: Solve for x
    x = 439,541,154,441/285,121.50
  6. Step 6: Final answer
    x = 1,541,592.46

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.