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Finding the Third Proportional to 218,897 and 314,521

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Solution

The third proportional to 218,897 and 314,521 is: 451,917.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,897 : 314,521 = 314,521 : x
  2. Step 2: Convert to fraction form
    218,897/314,521 = 314,521/x
  3. Step 3: Cross multiply
    218,897x = 314,521 × 314,521
  4. Step 4: Simplify right side
    218,897x = 98,923,459,441
  5. Step 5: Solve for x
    x = 98,923,459,441/218,897
  6. Step 6: Final answer
    x = 451,917.84

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.