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Finding the Third Proportional to 9,783 and 15,545.25

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Solution

The third proportional to 9,783 and 15,545.25 is: 24,701.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783 : 15,545.25 = 15,545.25 : x
  2. Step 2: Convert to fraction form
    9,783/15,545.25 = 15,545.25/x
  3. Step 3: Cross multiply
    9,783x = 15,545.25 × 15,545.25
  4. Step 4: Simplify right side
    9,783x = 241,654,797.56
  5. Step 5: Solve for x
    x = 241,654,797.56/9,783
  6. Step 6: Final answer
    x = 24,701.50

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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.