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Finding the Third Proportional to 429,058 and 642,755

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Solution

The third proportional to 429,058 and 642,755 is: 962,886.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,058 : 642,755 = 642,755 : x
  2. Step 2: Convert to fraction form
    429,058/642,755 = 642,755/x
  3. Step 3: Cross multiply
    429,058x = 642,755 × 642,755
  4. Step 4: Simplify right side
    429,058x = 413,133,990,025
  5. Step 5: Solve for x
    x = 413,133,990,025/429,058
  6. Step 6: Final answer
    x = 962,886.11

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