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Finding the Third Proportional to 215,101 and 334,157

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Solution

The third proportional to 215,101 and 334,157 is: 519,109.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,101 : 334,157 = 334,157 : x
  2. Step 2: Convert to fraction form
    215,101/334,157 = 334,157/x
  3. Step 3: Cross multiply
    215,101x = 334,157 × 334,157
  4. Step 4: Simplify right side
    215,101x = 111,660,900,649
  5. Step 5: Solve for x
    x = 111,660,900,649/215,101
  6. Step 6: Final answer
    x = 519,109.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.