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Finding the Third Proportional to 218,304 and 321,312

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Solution

The third proportional to 218,304 and 321,312 is: 472,924.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,304 : 321,312 = 321,312 : x
  2. Step 2: Convert to fraction form
    218,304/321,312 = 321,312/x
  3. Step 3: Cross multiply
    218,304x = 321,312 × 321,312
  4. Step 4: Simplify right side
    218,304x = 103,241,401,344
  5. Step 5: Solve for x
    x = 103,241,401,344/218,304
  6. Step 6: Final answer
    x = 472,924.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.