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Finding the Third Proportional to 120,392 and 186,312

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Solution

The third proportional to 120,392 and 186,312 is: 288,326.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,392 : 186,312 = 186,312 : x
  2. Step 2: Convert to fraction form
    120,392/186,312 = 186,312/x
  3. Step 3: Cross multiply
    120,392x = 186,312 × 186,312
  4. Step 4: Simplify right side
    120,392x = 34,712,161,344
  5. Step 5: Solve for x
    x = 34,712,161,344/120,392
  6. Step 6: Final answer
    x = 288,326.15

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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.