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Finding the Third Proportional to 53,343 and 123,489

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Solution

The third proportional to 53,343 and 123,489 is: 285,876.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,343 : 123,489 = 123,489 : x
  2. Step 2: Convert to fraction form
    53,343/123,489 = 123,489/x
  3. Step 3: Cross multiply
    53,343x = 123,489 × 123,489
  4. Step 4: Simplify right side
    53,343x = 15,249,533,121
  5. Step 5: Solve for x
    x = 15,249,533,121/53,343
  6. Step 6: Final answer
    x = 285,876.93

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.