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Finding the Third Proportional to 40,528 and 84,276

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Solution

The third proportional to 40,528 and 84,276 is: 175,247.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,528 : 84,276 = 84,276 : x
  2. Step 2: Convert to fraction form
    40,528/84,276 = 84,276/x
  3. Step 3: Cross multiply
    40,528x = 84,276 × 84,276
  4. Step 4: Simplify right side
    40,528x = 7,102,444,176
  5. Step 5: Solve for x
    x = 7,102,444,176/40,528
  6. Step 6: Final answer
    x = 175,247.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.