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Finding the Third Proportional to 12,357 and 26,657

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Solution

The third proportional to 12,357 and 26,657 is: 57,505.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357 : 26,657 = 26,657 : x
  2. Step 2: Convert to fraction form
    12,357/26,657 = 26,657/x
  3. Step 3: Cross multiply
    12,357x = 26,657 × 26,657
  4. Step 4: Simplify right side
    12,357x = 710,595,649
  5. Step 5: Solve for x
    x = 710,595,649/12,357
  6. Step 6: Final answer
    x = 57,505.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.