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Finding the Third Proportional to 91,314 and 122,139

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Solution

The third proportional to 91,314 and 122,139 is: 163,369.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,314 : 122,139 = 122,139 : x
  2. Step 2: Convert to fraction form
    91,314/122,139 = 122,139/x
  3. Step 3: Cross multiply
    91,314x = 122,139 × 122,139
  4. Step 4: Simplify right side
    91,314x = 14,917,935,321
  5. Step 5: Solve for x
    x = 14,917,935,321/91,314
  6. Step 6: Final answer
    x = 163,369.64

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.