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Finding the Third Proportional to 52,128 and 74,272

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Solution

The third proportional to 52,128 and 74,272 is: 105,822.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,128 : 74,272 = 74,272 : x
  2. Step 2: Convert to fraction form
    52,128/74,272 = 74,272/x
  3. Step 3: Cross multiply
    52,128x = 74,272 × 74,272
  4. Step 4: Simplify right side
    52,128x = 5,516,329,984
  5. Step 5: Solve for x
    x = 5,516,329,984/52,128
  6. Step 6: Final answer
    x = 105,822.78

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.