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Finding the Third Proportional to 19,282 and 42,254

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Solution

The third proportional to 19,282 and 42,254 is: 92,594.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,282 : 42,254 = 42,254 : x
  2. Step 2: Convert to fraction form
    19,282/42,254 = 42,254/x
  3. Step 3: Cross multiply
    19,282x = 42,254 × 42,254
  4. Step 4: Simplify right side
    19,282x = 1,785,400,516
  5. Step 5: Solve for x
    x = 1,785,400,516/19,282
  6. Step 6: Final answer
    x = 92,594.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.