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Finding the Third Proportional to 20,307 and 30,460.50

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Solution

The third proportional to 20,307 and 30,460.50 is: 45,690.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,307 : 30,460.50 = 30,460.50 : x
  2. Step 2: Convert to fraction form
    20,307/30,460.50 = 30,460.50/x
  3. Step 3: Cross multiply
    20,307x = 30,460.50 × 30,460.50
  4. Step 4: Simplify right side
    20,307x = 927,842,060.25
  5. Step 5: Solve for x
    x = 927,842,060.25/20,307
  6. Step 6: Final answer
    x = 45,690.75

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.