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Finding the Third Proportional to 39,528 and 70,282

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Solution

The third proportional to 39,528 and 70,282 is: 124,963.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,528 : 70,282 = 70,282 : x
  2. Step 2: Convert to fraction form
    39,528/70,282 = 70,282/x
  3. Step 3: Cross multiply
    39,528x = 70,282 × 70,282
  4. Step 4: Simplify right side
    39,528x = 4,939,559,524
  5. Step 5: Solve for x
    x = 4,939,559,524/39,528
  6. Step 6: Final answer
    x = 124,963.56

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.