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Finding the Third Proportional to 91,246.50 and 122,054.34

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Solution

The third proportional to 91,246.50 and 122,054.34 is: 163,263.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,246.50 : 122,054.34 = 122,054.34 : x
  2. Step 2: Convert to fraction form
    91,246.50/122,054.34 = 122,054.34/x
  3. Step 3: Cross multiply
    91,246.50x = 122,054.34 × 122,054.34
  4. Step 4: Simplify right side
    91,246.50x = 14,897,262,828.24
  5. Step 5: Solve for x
    x = 14,897,262,828.24/91,246.50
  6. Step 6: Final answer
    x = 163,263.94

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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.