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Finding the Third Proportional to 9,590.50 and 15,266.88

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Solution

The third proportional to 9,590.50 and 15,266.88 is: 24,302.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.50 : 15,266.88 = 15,266.88 : x
  2. Step 2: Convert to fraction form
    9,590.50/15,266.88 = 15,266.88/x
  3. Step 3: Cross multiply
    9,590.50x = 15,266.88 × 15,266.88
  4. Step 4: Simplify right side
    9,590.50x = 233,077,472.27
  5. Step 5: Solve for x
    x = 233,077,472.27/9,590.50
  6. Step 6: Final answer
    x = 24,302.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.