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Finding the Third Proportional to 28,230 and 39,657

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Solution

The third proportional to 28,230 and 39,657 is: 55,709.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,230 : 39,657 = 39,657 : x
  2. Step 2: Convert to fraction form
    28,230/39,657 = 39,657/x
  3. Step 3: Cross multiply
    28,230x = 39,657 × 39,657
  4. Step 4: Simplify right side
    28,230x = 1,572,677,649
  5. Step 5: Solve for x
    x = 1,572,677,649/28,230
  6. Step 6: Final answer
    x = 55,709.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.