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Finding the Third Proportional to 1,510.52 and 3,125.46

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Solution

The third proportional to 1,510.52 and 3,125.46 is: 6,466.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.52 : 3,125.46 = 3,125.46 : x
  2. Step 2: Convert to fraction form
    1,510.52/3,125.46 = 3,125.46/x
  3. Step 3: Cross multiply
    1,510.52x = 3,125.46 × 3,125.46
  4. Step 4: Simplify right side
    1,510.52x = 9,768,506.07
  5. Step 5: Solve for x
    x = 9,768,506.07/1,510.52
  6. Step 6: Final answer
    x = 6,466.97

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.