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Finding the Third Proportional to 442,273 and 662,712

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Solution

The third proportional to 442,273 and 662,712 is: 993,022.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,273 : 662,712 = 662,712 : x
  2. Step 2: Convert to fraction form
    442,273/662,712 = 662,712/x
  3. Step 3: Cross multiply
    442,273x = 662,712 × 662,712
  4. Step 4: Simplify right side
    442,273x = 439,187,194,944
  5. Step 5: Solve for x
    x = 439,187,194,944/442,273
  6. Step 6: Final answer
    x = 993,022.85

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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.