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Finding the Third Proportional to 138,148 and 286,124

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Solution

The third proportional to 138,148 and 286,124 is: 592,603.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,148 : 286,124 = 286,124 : x
  2. Step 2: Convert to fraction form
    138,148/286,124 = 286,124/x
  3. Step 3: Cross multiply
    138,148x = 286,124 × 286,124
  4. Step 4: Simplify right side
    138,148x = 81,866,943,376
  5. Step 5: Solve for x
    x = 81,866,943,376/138,148
  6. Step 6: Final answer
    x = 592,603.17

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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.