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Finding the Third Proportional to 4,686.19 and 5,962.78

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Solution

The third proportional to 4,686.19 and 5,962.78 is: 7,587.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.19 : 5,962.78 = 5,962.78 : x
  2. Step 2: Convert to fraction form
    4,686.19/5,962.78 = 5,962.78/x
  3. Step 3: Cross multiply
    4,686.19x = 5,962.78 × 5,962.78
  4. Step 4: Simplify right side
    4,686.19x = 35,554,760.24
  5. Step 5: Solve for x
    x = 35,554,760.24/4,686.19
  6. Step 6: Final answer
    x = 7,587.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.