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Finding the Third Proportional to 138,406 and 216,835

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Solution

The third proportional to 138,406 and 216,835 is: 339,706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,406 : 216,835 = 216,835 : x
  2. Step 2: Convert to fraction form
    138,406/216,835 = 216,835/x
  3. Step 3: Cross multiply
    138,406x = 216,835 × 216,835
  4. Step 4: Simplify right side
    138,406x = 47,017,417,225
  5. Step 5: Solve for x
    x = 47,017,417,225/138,406
  6. Step 6: Final answer
    x = 339,706.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.