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Finding the Third Proportional to 48,633.19 and 74,425.78

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Solution

The third proportional to 48,633.19 and 74,425.78 is: 113,897.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,633.19 : 74,425.78 = 74,425.78 : x
  2. Step 2: Convert to fraction form
    48,633.19/74,425.78 = 74,425.78/x
  3. Step 3: Cross multiply
    48,633.19x = 74,425.78 × 74,425.78
  4. Step 4: Simplify right side
    48,633.19x = 5,539,196,914.67
  5. Step 5: Solve for x
    x = 5,539,196,914.67/48,633.19
  6. Step 6: Final answer
    x = 113,897.47

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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.