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Finding the Third Proportional to 30,709.13 and 69,513.19

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Solution

The third proportional to 30,709.13 and 69,513.19 is: 157,350.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,709.13 : 69,513.19 = 69,513.19 : x
  2. Step 2: Convert to fraction form
    30,709.13/69,513.19 = 69,513.19/x
  3. Step 3: Cross multiply
    30,709.13x = 69,513.19 × 69,513.19
  4. Step 4: Simplify right side
    30,709.13x = 4,832,083,236.41
  5. Step 5: Solve for x
    x = 4,832,083,236.41/30,709.13
  6. Step 6: Final answer
    x = 157,350.08

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.