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Finding the Third Proportional to 438,656 and 956,638

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Solution

The third proportional to 438,656 and 956,638 is: 2,086,273.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,656 : 956,638 = 956,638 : x
  2. Step 2: Convert to fraction form
    438,656/956,638 = 956,638/x
  3. Step 3: Cross multiply
    438,656x = 956,638 × 956,638
  4. Step 4: Simplify right side
    438,656x = 915,156,263,044
  5. Step 5: Solve for x
    x = 915,156,263,044/438,656
  6. Step 6: Final answer
    x = 2,086,273.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.