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Finding the Third Proportional to 56,614 and 121,155

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Solution

The third proportional to 56,614 and 121,155 is: 259,273.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,614 : 121,155 = 121,155 : x
  2. Step 2: Convert to fraction form
    56,614/121,155 = 121,155/x
  3. Step 3: Cross multiply
    56,614x = 121,155 × 121,155
  4. Step 4: Simplify right side
    56,614x = 14,678,534,025
  5. Step 5: Solve for x
    x = 14,678,534,025/56,614
  6. Step 6: Final answer
    x = 259,273.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.