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Finding the Third Proportional to 218,348 and 293,409

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Solution

The third proportional to 218,348 and 293,409 is: 394,273.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,348 : 293,409 = 293,409 : x
  2. Step 2: Convert to fraction form
    218,348/293,409 = 293,409/x
  3. Step 3: Cross multiply
    218,348x = 293,409 × 293,409
  4. Step 4: Simplify right side
    218,348x = 86,088,841,281
  5. Step 5: Solve for x
    x = 86,088,841,281/218,348
  6. Step 6: Final answer
    x = 394,273.55

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.