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Finding the Third Proportional to 136,787.17 and 218,521.55

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Solution

The third proportional to 136,787.17 and 218,521.55 is: 349,094.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,787.17 : 218,521.55 = 218,521.55 : x
  2. Step 2: Convert to fraction form
    136,787.17/218,521.55 = 218,521.55/x
  3. Step 3: Cross multiply
    136,787.17x = 218,521.55 × 218,521.55
  4. Step 4: Simplify right side
    136,787.17x = 47,751,666,448.64
  5. Step 5: Solve for x
    x = 47,751,666,448.64/136,787.17
  6. Step 6: Final answer
    x = 349,094.63

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.