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Finding the Third Proportional to 429,040 and 642,732

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Solution

The third proportional to 429,040 and 642,732 is: 962,857.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,040 : 642,732 = 642,732 : x
  2. Step 2: Convert to fraction form
    429,040/642,732 = 642,732/x
  3. Step 3: Cross multiply
    429,040x = 642,732 × 642,732
  4. Step 4: Simplify right side
    429,040x = 413,104,423,824
  5. Step 5: Solve for x
    x = 413,104,423,824/429,040
  6. Step 6: Final answer
    x = 962,857.60

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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.