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Finding the Third Proportional to 19,288.69 and 29,139.19

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Solution

The third proportional to 19,288.69 and 29,139.19 is: 44,020.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,288.69 : 29,139.19 = 29,139.19 : x
  2. Step 2: Convert to fraction form
    19,288.69/29,139.19 = 29,139.19/x
  3. Step 3: Cross multiply
    19,288.69x = 29,139.19 × 29,139.19
  4. Step 4: Simplify right side
    19,288.69x = 849,092,248.16
  5. Step 5: Solve for x
    x = 849,092,248.16/19,288.69
  6. Step 6: Final answer
    x = 44,020.22

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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.