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Finding the Third Proportional to 438,138 and 665,406

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Solution

The third proportional to 438,138 and 665,406 is: 1,010,560.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,138 : 665,406 = 665,406 : x
  2. Step 2: Convert to fraction form
    438,138/665,406 = 665,406/x
  3. Step 3: Cross multiply
    438,138x = 665,406 × 665,406
  4. Step 4: Simplify right side
    438,138x = 442,765,144,836
  5. Step 5: Solve for x
    x = 442,765,144,836/438,138
  6. Step 6: Final answer
    x = 1,010,560.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.