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Finding the Third Proportional to 7,705 and 18,182.50

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Solution

The third proportional to 7,705 and 18,182.50 is: 42,907.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705 : 18,182.50 = 18,182.50 : x
  2. Step 2: Convert to fraction form
    7,705/18,182.50 = 18,182.50/x
  3. Step 3: Cross multiply
    7,705x = 18,182.50 × 18,182.50
  4. Step 4: Simplify right side
    7,705x = 330,603,306.25
  5. Step 5: Solve for x
    x = 330,603,306.25/7,705
  6. Step 6: Final answer
    x = 42,907.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.