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Finding the Third Proportional to 121,036 and 186,658

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Solution

The third proportional to 121,036 and 186,658 is: 287,858.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,036 : 186,658 = 186,658 : x
  2. Step 2: Convert to fraction form
    121,036/186,658 = 186,658/x
  3. Step 3: Cross multiply
    121,036x = 186,658 × 186,658
  4. Step 4: Simplify right side
    121,036x = 34,841,208,964
  5. Step 5: Solve for x
    x = 34,841,208,964/121,036
  6. Step 6: Final answer
    x = 287,858.23

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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.