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Finding the Third Proportional to 5,172.75 and 7,925.77

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Solution

The third proportional to 5,172.75 and 7,925.77 is: 12,143.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.75 : 7,925.77 = 7,925.77 : x
  2. Step 2: Convert to fraction form
    5,172.75/7,925.77 = 7,925.77/x
  3. Step 3: Cross multiply
    5,172.75x = 7,925.77 × 7,925.77
  4. Step 4: Simplify right side
    5,172.75x = 62,817,760.74
  5. Step 5: Solve for x
    x = 62,817,760.74/5,172.75
  6. Step 6: Final answer
    x = 12,143.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.