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Finding the Third Proportional to 2,129.63 and 3,125.46

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Solution

The third proportional to 2,129.63 and 3,125.46 is: 4,586.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.63 : 3,125.46 = 3,125.46 : x
  2. Step 2: Convert to fraction form
    2,129.63/3,125.46 = 3,125.46/x
  3. Step 3: Cross multiply
    2,129.63x = 3,125.46 × 3,125.46
  4. Step 4: Simplify right side
    2,129.63x = 9,768,506.07
  5. Step 5: Solve for x
    x = 9,768,506.07/2,129.63
  6. Step 6: Final answer
    x = 4,586.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.