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Finding the Third Proportional to 15,688.69 and 20,677.78

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Solution

The third proportional to 15,688.69 and 20,677.78 is: 27,253.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,688.69 : 20,677.78 = 20,677.78 : x
  2. Step 2: Convert to fraction form
    15,688.69/20,677.78 = 20,677.78/x
  3. Step 3: Cross multiply
    15,688.69x = 20,677.78 × 20,677.78
  4. Step 4: Simplify right side
    15,688.69x = 427,570,637.42
  5. Step 5: Solve for x
    x = 427,570,637.42/15,688.69
  6. Step 6: Final answer
    x = 27,253.44

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.