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Finding the Third Proportional to 38,703 and 79,045.50

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Solution

The third proportional to 38,703 and 79,045.50 is: 161,439.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,703 : 79,045.50 = 79,045.50 : x
  2. Step 2: Convert to fraction form
    38,703/79,045.50 = 79,045.50/x
  3. Step 3: Cross multiply
    38,703x = 79,045.50 × 79,045.50
  4. Step 4: Simplify right side
    38,703x = 6,248,191,070.25
  5. Step 5: Solve for x
    x = 6,248,191,070.25/38,703
  6. Step 6: Final answer
    x = 161,439.45

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.