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Finding the Third Proportional to 429,000 and 642,672

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Solution

The third proportional to 429,000 and 642,672 is: 962,767.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,000 : 642,672 = 642,672 : x
  2. Step 2: Convert to fraction form
    429,000/642,672 = 642,672/x
  3. Step 3: Cross multiply
    429,000x = 642,672 × 642,672
  4. Step 4: Simplify right side
    429,000x = 413,027,299,584
  5. Step 5: Solve for x
    x = 413,027,299,584/429,000
  6. Step 6: Final answer
    x = 962,767.60

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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.