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Finding the Third Proportional to 138,154 and 286,136

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Solution

The third proportional to 138,154 and 286,136 is: 592,627.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,154 : 286,136 = 286,136 : x
  2. Step 2: Convert to fraction form
    138,154/286,136 = 286,136/x
  3. Step 3: Cross multiply
    138,154x = 286,136 × 286,136
  4. Step 4: Simplify right side
    138,154x = 81,873,810,496
  5. Step 5: Solve for x
    x = 81,873,810,496/138,154
  6. Step 6: Final answer
    x = 592,627.14

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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.