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Finding the Third Proportional to 2,972.95 and 4,613.20

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Solution

The third proportional to 2,972.95 and 4,613.20 is: 7,158.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.95 : 4,613.20 = 4,613.20 : x
  2. Step 2: Convert to fraction form
    2,972.95/4,613.20 = 4,613.20/x
  3. Step 3: Cross multiply
    2,972.95x = 4,613.20 × 4,613.20
  4. Step 4: Simplify right side
    2,972.95x = 21,281,643.07
  5. Step 5: Solve for x
    x = 21,281,643.07/2,972.95
  6. Step 6: Final answer
    x = 7,158.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.