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Finding the Third Proportional to 56,106 and 121,815

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Solution

The third proportional to 56,106 and 121,815 is: 264,479.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,106 : 121,815 = 121,815 : x
  2. Step 2: Convert to fraction form
    56,106/121,815 = 121,815/x
  3. Step 3: Cross multiply
    56,106x = 121,815 × 121,815
  4. Step 4: Simplify right side
    56,106x = 14,838,894,225
  5. Step 5: Solve for x
    x = 14,838,894,225/56,106
  6. Step 6: Final answer
    x = 264,479.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.