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Finding the Third Proportional to 99,045 and 153,429.75

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Solution

The third proportional to 99,045 and 153,429.75 is: 237,676.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,045 : 153,429.75 = 153,429.75 : x
  2. Step 2: Convert to fraction form
    99,045/153,429.75 = 153,429.75/x
  3. Step 3: Cross multiply
    99,045x = 153,429.75 × 153,429.75
  4. Step 4: Simplify right side
    99,045x = 23,540,688,185.06
  5. Step 5: Solve for x
    x = 23,540,688,185.06/99,045
  6. Step 6: Final answer
    x = 237,676.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.