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Finding the Third Proportional to 138,140 and 286,108

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Solution

The third proportional to 138,140 and 286,108 is: 592,571.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,140 : 286,108 = 286,108 : x
  2. Step 2: Convert to fraction form
    138,140/286,108 = 286,108/x
  3. Step 3: Cross multiply
    138,140x = 286,108 × 286,108
  4. Step 4: Simplify right side
    138,140x = 81,857,787,664
  5. Step 5: Solve for x
    x = 81,857,787,664/138,140
  6. Step 6: Final answer
    x = 592,571.22

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.