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Finding the Third Proportional to 121,040 and 186,664

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Solution

The third proportional to 121,040 and 186,664 is: 287,867.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,040 : 186,664 = 186,664 : x
  2. Step 2: Convert to fraction form
    121,040/186,664 = 186,664/x
  3. Step 3: Cross multiply
    121,040x = 186,664 × 186,664
  4. Step 4: Simplify right side
    121,040x = 34,843,448,896
  5. Step 5: Solve for x
    x = 34,843,448,896/121,040
  6. Step 6: Final answer
    x = 287,867.22

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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.