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Finding the Third Proportional to 121,362 and 188,433

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Solution

The third proportional to 121,362 and 188,433 is: 292,570.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,362 : 188,433 = 188,433 : x
  2. Step 2: Convert to fraction form
    121,362/188,433 = 188,433/x
  3. Step 3: Cross multiply
    121,362x = 188,433 × 188,433
  4. Step 4: Simplify right side
    121,362x = 35,506,995,489
  5. Step 5: Solve for x
    x = 35,506,995,489/121,362
  6. Step 6: Final answer
    x = 292,570.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.