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Finding the Third Proportional to 21,285 and 34,295.63

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Solution

The third proportional to 21,285 and 34,295.63 is: 55,259.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,285 : 34,295.63 = 34,295.63 : x
  2. Step 2: Convert to fraction form
    21,285/34,295.63 = 34,295.63/x
  3. Step 3: Cross multiply
    21,285x = 34,295.63 × 34,295.63
  4. Step 4: Simplify right side
    21,285x = 1,176,189,894.14
  5. Step 5: Solve for x
    x = 1,176,189,894.14/21,285
  6. Step 6: Final answer
    x = 55,259.10

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.