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Finding the Third Proportional to 101,413 and 216,400

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Solution

The third proportional to 101,413 and 216,400 is: 461,764.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,413 : 216,400 = 216,400 : x
  2. Step 2: Convert to fraction form
    101,413/216,400 = 216,400/x
  3. Step 3: Cross multiply
    101,413x = 216,400 × 216,400
  4. Step 4: Simplify right side
    101,413x = 46,828,960,000
  5. Step 5: Solve for x
    x = 46,828,960,000/101,413
  6. Step 6: Final answer
    x = 461,764.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.