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Finding the Third Proportional to 138,602 and 214,527

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Solution

The third proportional to 138,602 and 214,527 is: 332,043.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,602 : 214,527 = 214,527 : x
  2. Step 2: Convert to fraction form
    138,602/214,527 = 214,527/x
  3. Step 3: Cross multiply
    138,602x = 214,527 × 214,527
  4. Step 4: Simplify right side
    138,602x = 46,021,833,729
  5. Step 5: Solve for x
    x = 46,021,833,729/138,602
  6. Step 6: Final answer
    x = 332,043.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.