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Finding the Third Proportional to 138,210 and 286,260

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Solution

The third proportional to 138,210 and 286,260 is: 592,900.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,210 : 286,260 = 286,260 : x
  2. Step 2: Convert to fraction form
    138,210/286,260 = 286,260/x
  3. Step 3: Cross multiply
    138,210x = 286,260 × 286,260
  4. Step 4: Simplify right side
    138,210x = 81,944,787,600
  5. Step 5: Solve for x
    x = 81,944,787,600/138,210
  6. Step 6: Final answer
    x = 592,900.57

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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.