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Finding the Third Proportional to 438,638 and 956,602

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Solution

The third proportional to 438,638 and 956,602 is: 2,086,201.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,638 : 956,602 = 956,602 : x
  2. Step 2: Convert to fraction form
    438,638/956,602 = 956,602/x
  3. Step 3: Cross multiply
    438,638x = 956,602 × 956,602
  4. Step 4: Simplify right side
    438,638x = 915,087,386,404
  5. Step 5: Solve for x
    x = 915,087,386,404/438,638
  6. Step 6: Final answer
    x = 2,086,201.80

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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.