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Finding the Third Proportional to 20,730.09 and 31,266.84

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Solution

The third proportional to 20,730.09 and 31,266.84 is: 47,159.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,730.09 : 31,266.84 = 31,266.84 : x
  2. Step 2: Convert to fraction form
    20,730.09/31,266.84 = 31,266.84/x
  3. Step 3: Cross multiply
    20,730.09x = 31,266.84 × 31,266.84
  4. Step 4: Simplify right side
    20,730.09x = 977,615,518.09
  5. Step 5: Solve for x
    x = 977,615,518.09/20,730.09
  6. Step 6: Final answer
    x = 47,159.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.