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Finding the Third Proportional to 189,972 and 282,030

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Solution

The third proportional to 189,972 and 282,030 is: 418,698.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,972 : 282,030 = 282,030 : x
  2. Step 2: Convert to fraction form
    189,972/282,030 = 282,030/x
  3. Step 3: Cross multiply
    189,972x = 282,030 × 282,030
  4. Step 4: Simplify right side
    189,972x = 79,540,920,900
  5. Step 5: Solve for x
    x = 79,540,920,900/189,972
  6. Step 6: Final answer
    x = 418,698.13

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.