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Finding the Third Proportional to 25,390 and 55,703

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Solution

The third proportional to 25,390 and 55,703 is: 122,206.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,390 : 55,703 = 55,703 : x
  2. Step 2: Convert to fraction form
    25,390/55,703 = 55,703/x
  3. Step 3: Cross multiply
    25,390x = 55,703 × 55,703
  4. Step 4: Simplify right side
    25,390x = 3,102,824,209
  5. Step 5: Solve for x
    x = 3,102,824,209/25,390
  6. Step 6: Final answer
    x = 122,206.55

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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.