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Finding the Third Proportional to 7,306.25 and 15,780.25

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Solution

The third proportional to 7,306.25 and 15,780.25 is: 34,082.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306.25 : 15,780.25 = 15,780.25 : x
  2. Step 2: Convert to fraction form
    7,306.25/15,780.25 = 15,780.25/x
  3. Step 3: Cross multiply
    7,306.25x = 15,780.25 × 15,780.25
  4. Step 4: Simplify right side
    7,306.25x = 249,016,290.06
  5. Step 5: Solve for x
    x = 249,016,290.06/7,306.25
  6. Step 6: Final answer
    x = 34,082.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.