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Finding the Third Proportional to 189,674 and 316,079

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Solution

The third proportional to 189,674 and 316,079 is: 526,724.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,674 : 316,079 = 316,079 : x
  2. Step 2: Convert to fraction form
    189,674/316,079 = 316,079/x
  3. Step 3: Cross multiply
    189,674x = 316,079 × 316,079
  4. Step 4: Simplify right side
    189,674x = 99,905,934,241
  5. Step 5: Solve for x
    x = 99,905,934,241/189,674
  6. Step 6: Final answer
    x = 526,724.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.