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Finding the Third Proportional to 40,505 and 54,528

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Solution

The third proportional to 40,505 and 54,528 is: 73,405.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,505 : 54,528 = 54,528 : x
  2. Step 2: Convert to fraction form
    40,505/54,528 = 54,528/x
  3. Step 3: Cross multiply
    40,505x = 54,528 × 54,528
  4. Step 4: Simplify right side
    40,505x = 2,973,302,784
  5. Step 5: Solve for x
    x = 2,973,302,784/40,505
  6. Step 6: Final answer
    x = 73,405.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.