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Finding the Third Proportional to 35,428 and 54,279

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Solution

The third proportional to 35,428 and 54,279 is: 83,160.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,428 : 54,279 = 54,279 : x
  2. Step 2: Convert to fraction form
    35,428/54,279 = 54,279/x
  3. Step 3: Cross multiply
    35,428x = 54,279 × 54,279
  4. Step 4: Simplify right side
    35,428x = 2,946,209,841
  5. Step 5: Solve for x
    x = 2,946,209,841/35,428
  6. Step 6: Final answer
    x = 83,160.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.