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Finding the Third Proportional to 438,189 and 693,261

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Solution

The third proportional to 438,189 and 693,261 is: 1,096,811.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,189 : 693,261 = 693,261 : x
  2. Step 2: Convert to fraction form
    438,189/693,261 = 693,261/x
  3. Step 3: Cross multiply
    438,189x = 693,261 × 693,261
  4. Step 4: Simplify right side
    438,189x = 480,610,814,121
  5. Step 5: Solve for x
    x = 480,610,814,121/438,189
  6. Step 6: Final answer
    x = 1,096,811.68

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.