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Finding the Third Proportional to 218,643.05 and 337,304.88

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Solution

The third proportional to 218,643.05 and 337,304.88 is: 520,366.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,643.05 : 337,304.88 = 337,304.88 : x
  2. Step 2: Convert to fraction form
    218,643.05/337,304.88 = 337,304.88/x
  3. Step 3: Cross multiply
    218,643.05x = 337,304.88 × 337,304.88
  4. Step 4: Simplify right side
    218,643.05x = 113,774,583,969.15
  5. Step 5: Solve for x
    x = 113,774,583,969.15/218,643.05
  6. Step 6: Final answer
    x = 520,366.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.