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Finding the Third Proportional to 133,870 and 215,237

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Solution

The third proportional to 133,870 and 215,237 is: 346,059.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,870 : 215,237 = 215,237 : x
  2. Step 2: Convert to fraction form
    133,870/215,237 = 215,237/x
  3. Step 3: Cross multiply
    133,870x = 215,237 × 215,237
  4. Step 4: Simplify right side
    133,870x = 46,326,966,169
  5. Step 5: Solve for x
    x = 46,326,966,169/133,870
  6. Step 6: Final answer
    x = 346,059.36

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.