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Finding the Third Proportional to 123,428 and 186,873

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Solution

The third proportional to 123,428 and 186,873 is: 282,930.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,428 : 186,873 = 186,873 : x
  2. Step 2: Convert to fraction form
    123,428/186,873 = 186,873/x
  3. Step 3: Cross multiply
    123,428x = 186,873 × 186,873
  4. Step 4: Simplify right side
    123,428x = 34,921,518,129
  5. Step 5: Solve for x
    x = 34,921,518,129/123,428
  6. Step 6: Final answer
    x = 282,930.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.