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Finding the Third Proportional to 81,501.19 and 121,054.50

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Solution

The third proportional to 81,501.19 and 121,054.50 is: 179,803.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,501.19 : 121,054.50 = 121,054.50 : x
  2. Step 2: Convert to fraction form
    81,501.19/121,054.50 = 121,054.50/x
  3. Step 3: Cross multiply
    81,501.19x = 121,054.50 × 121,054.50
  4. Step 4: Simplify right side
    81,501.19x = 14,654,191,970.25
  5. Step 5: Solve for x
    x = 14,654,191,970.25/81,501.19
  6. Step 6: Final answer
    x = 179,803.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.