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Finding the Third Proportional to 30,386.75 and 45,999.38

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Solution

The third proportional to 30,386.75 and 45,999.38 is: 69,633.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,386.75 : 45,999.38 = 45,999.38 : x
  2. Step 2: Convert to fraction form
    30,386.75/45,999.38 = 45,999.38/x
  3. Step 3: Cross multiply
    30,386.75x = 45,999.38 × 45,999.38
  4. Step 4: Simplify right side
    30,386.75x = 2,115,942,500.39
  5. Step 5: Solve for x
    x = 2,115,942,500.39/30,386.75
  6. Step 6: Final answer
    x = 69,633.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.