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Finding the Third Proportional to 18,278.16 and 39,654.56

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Solution

The third proportional to 18,278.16 and 39,654.56 is: 86,030.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,278.16 : 39,654.56 = 39,654.56 : x
  2. Step 2: Convert to fraction form
    18,278.16/39,654.56 = 39,654.56/x
  3. Step 3: Cross multiply
    18,278.16x = 39,654.56 × 39,654.56
  4. Step 4: Simplify right side
    18,278.16x = 1,572,484,327.07
  5. Step 5: Solve for x
    x = 1,572,484,327.07/18,278.16
  6. Step 6: Final answer
    x = 86,030.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.