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Finding the Third Proportional to 12,528 and 29,679.75

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Solution

The third proportional to 12,528 and 29,679.75 is: 70,313.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,528 : 29,679.75 = 29,679.75 : x
  2. Step 2: Convert to fraction form
    12,528/29,679.75 = 29,679.75/x
  3. Step 3: Cross multiply
    12,528x = 29,679.75 × 29,679.75
  4. Step 4: Simplify right side
    12,528x = 880,887,560.06
  5. Step 5: Solve for x
    x = 880,887,560.06/12,528
  6. Step 6: Final answer
    x = 70,313.50

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.