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Finding the Third Proportional to 20,507.40 and 30,780.32

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Solution

The third proportional to 20,507.40 and 30,780.32 is: 46,199.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,507.40 : 30,780.32 = 30,780.32 : x
  2. Step 2: Convert to fraction form
    20,507.40/30,780.32 = 30,780.32/x
  3. Step 3: Cross multiply
    20,507.40x = 30,780.32 × 30,780.32
  4. Step 4: Simplify right side
    20,507.40x = 947,427,878.07
  5. Step 5: Solve for x
    x = 947,427,878.07/20,507.40
  6. Step 6: Final answer
    x = 46,199.33

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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.