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Finding the Third Proportional to 136,076 and 216,143

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Solution

The third proportional to 136,076 and 216,143 is: 343,321.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,076 : 216,143 = 216,143 : x
  2. Step 2: Convert to fraction form
    136,076/216,143 = 216,143/x
  3. Step 3: Cross multiply
    136,076x = 216,143 × 216,143
  4. Step 4: Simplify right side
    136,076x = 46,717,796,449
  5. Step 5: Solve for x
    x = 46,717,796,449/136,076
  6. Step 6: Final answer
    x = 343,321.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.