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Finding the Third Proportional to 438,440 and 698,186

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Solution

The third proportional to 438,440 and 698,186 is: 1,111,813.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,440 : 698,186 = 698,186 : x
  2. Step 2: Convert to fraction form
    438,440/698,186 = 698,186/x
  3. Step 3: Cross multiply
    438,440x = 698,186 × 698,186
  4. Step 4: Simplify right side
    438,440x = 487,463,690,596
  5. Step 5: Solve for x
    x = 487,463,690,596/438,440
  6. Step 6: Final answer
    x = 1,111,813.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.