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Finding the Third Proportional to 25,470 and 55,319

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Solution

The third proportional to 25,470 and 55,319 is: 120,148.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,470 : 55,319 = 55,319 : x
  2. Step 2: Convert to fraction form
    25,470/55,319 = 55,319/x
  3. Step 3: Cross multiply
    25,470x = 55,319 × 55,319
  4. Step 4: Simplify right side
    25,470x = 3,060,191,761
  5. Step 5: Solve for x
    x = 3,060,191,761/25,470
  6. Step 6: Final answer
    x = 120,148.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.