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Finding the Third Proportional to 120,389 and 186,670

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Solution

The third proportional to 120,389 and 186,670 is: 289,442.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,389 : 186,670 = 186,670 : x
  2. Step 2: Convert to fraction form
    120,389/186,670 = 186,670/x
  3. Step 3: Cross multiply
    120,389x = 186,670 × 186,670
  4. Step 4: Simplify right side
    120,389x = 34,845,688,900
  5. Step 5: Solve for x
    x = 34,845,688,900/120,389
  6. Step 6: Final answer
    x = 289,442.46

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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.