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Finding the Third Proportional to 19,284 and 29,132.25

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Solution

The third proportional to 19,284 and 29,132.25 is: 44,009.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,284 : 29,132.25 = 29,132.25 : x
  2. Step 2: Convert to fraction form
    19,284/29,132.25 = 29,132.25/x
  3. Step 3: Cross multiply
    19,284x = 29,132.25 × 29,132.25
  4. Step 4: Simplify right side
    19,284x = 848,687,990.06
  5. Step 5: Solve for x
    x = 848,687,990.06/19,284
  6. Step 6: Final answer
    x = 44,009.96

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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.