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Finding the Third Proportional to 56,144 and 121,297

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Solution

The third proportional to 56,144 and 121,297 is: 262,057.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,144 : 121,297 = 121,297 : x
  2. Step 2: Convert to fraction form
    56,144/121,297 = 121,297/x
  3. Step 3: Cross multiply
    56,144x = 121,297 × 121,297
  4. Step 4: Simplify right side
    56,144x = 14,712,962,209
  5. Step 5: Solve for x
    x = 14,712,962,209/56,144
  6. Step 6: Final answer
    x = 262,057.61

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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.