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Finding the Third Proportional to 121,056.75 and 186,688.13

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Solution

The third proportional to 121,056.75 and 186,688.13 is: 287,901.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,056.75 : 186,688.13 = 186,688.13 : x
  2. Step 2: Convert to fraction form
    121,056.75/186,688.13 = 186,688.13/x
  3. Step 3: Cross multiply
    121,056.75x = 186,688.13 × 186,688.13
  4. Step 4: Simplify right side
    121,056.75x = 34,852,456,016.02
  5. Step 5: Solve for x
    x = 34,852,456,016.02/121,056.75
  6. Step 6: Final answer
    x = 287,901.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.