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Finding the Third Proportional to 100,639 and 215,371

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Solution

The third proportional to 100,639 and 215,371 is: 460,901.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,639 : 215,371 = 215,371 : x
  2. Step 2: Convert to fraction form
    100,639/215,371 = 215,371/x
  3. Step 3: Cross multiply
    100,639x = 215,371 × 215,371
  4. Step 4: Simplify right side
    100,639x = 46,384,667,641
  5. Step 5: Solve for x
    x = 46,384,667,641/100,639
  6. Step 6: Final answer
    x = 460,901.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.