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Finding the Third Proportional to 438,658 and 956,636

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Solution

The third proportional to 438,658 and 956,636 is: 2,086,254.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,658 : 956,636 = 956,636 : x
  2. Step 2: Convert to fraction form
    438,658/956,636 = 956,636/x
  3. Step 3: Cross multiply
    438,658x = 956,636 × 956,636
  4. Step 4: Simplify right side
    438,658x = 915,152,436,496
  5. Step 5: Solve for x
    x = 915,152,436,496/438,658
  6. Step 6: Final answer
    x = 2,086,254.98

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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.