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Finding the Third Proportional to 438,617 and 662,705

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Solution

The third proportional to 438,617 and 662,705 is: 1,001,278.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,617 : 662,705 = 662,705 : x
  2. Step 2: Convert to fraction form
    438,617/662,705 = 662,705/x
  3. Step 3: Cross multiply
    438,617x = 662,705 × 662,705
  4. Step 4: Simplify right side
    438,617x = 439,177,917,025
  5. Step 5: Solve for x
    x = 439,177,917,025/438,617
  6. Step 6: Final answer
    x = 1,001,278.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.