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Finding the Third Proportional to 429,000.75 and 642,673.13

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Solution

The third proportional to 429,000.75 and 642,673.13 is: 962,769.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,000.75 : 642,673.13 = 642,673.13 : x
  2. Step 2: Convert to fraction form
    429,000.75/642,673.13 = 642,673.13/x
  3. Step 3: Cross multiply
    429,000.75x = 642,673.13 × 642,673.13
  4. Step 4: Simplify right side
    429,000.75x = 413,028,745,597.27
  5. Step 5: Solve for x
    x = 413,028,745,597.27/429,000.75
  6. Step 6: Final answer
    x = 962,769.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.