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Finding the Third Proportional to 429,582 and 649,800

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Solution

The third proportional to 429,582 and 649,800 is: 982,909.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,582 : 649,800 = 649,800 : x
  2. Step 2: Convert to fraction form
    429,582/649,800 = 649,800/x
  3. Step 3: Cross multiply
    429,582x = 649,800 × 649,800
  4. Step 4: Simplify right side
    429,582x = 422,240,040,000
  5. Step 5: Solve for x
    x = 422,240,040,000/429,582
  6. Step 6: Final answer
    x = 982,909.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.