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Finding the Third Proportional to 20,130.75 and 31,345.88

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Solution

The third proportional to 20,130.75 and 31,345.88 is: 48,809.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,130.75 : 31,345.88 = 31,345.88 : x
  2. Step 2: Convert to fraction form
    20,130.75/31,345.88 = 31,345.88/x
  3. Step 3: Cross multiply
    20,130.75x = 31,345.88 × 31,345.88
  4. Step 4: Simplify right side
    20,130.75x = 982,563,879.52
  5. Step 5: Solve for x
    x = 982,563,879.52/20,130.75
  6. Step 6: Final answer
    x = 48,809.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.