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Finding the Third Proportional to 189,186 and 282,139

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Solution

The third proportional to 189,186 and 282,139 is: 420,762.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,186 : 282,139 = 282,139 : x
  2. Step 2: Convert to fraction form
    189,186/282,139 = 282,139/x
  3. Step 3: Cross multiply
    189,186x = 282,139 × 282,139
  4. Step 4: Simplify right side
    189,186x = 79,602,415,321
  5. Step 5: Solve for x
    x = 79,602,415,321/189,186
  6. Step 6: Final answer
    x = 420,762.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.