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Finding the Third Proportional to 56,239 and 121,657

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Solution

The third proportional to 56,239 and 121,657 is: 263,170.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,239 : 121,657 = 121,657 : x
  2. Step 2: Convert to fraction form
    56,239/121,657 = 121,657/x
  3. Step 3: Cross multiply
    56,239x = 121,657 × 121,657
  4. Step 4: Simplify right side
    56,239x = 14,800,425,649
  5. Step 5: Solve for x
    x = 14,800,425,649/56,239
  6. Step 6: Final answer
    x = 263,170.14

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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.