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Finding the Third Proportional to 138,012 and 297,156

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Solution

The third proportional to 138,012 and 297,156 is: 639,811.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,012 : 297,156 = 297,156 : x
  2. Step 2: Convert to fraction form
    138,012/297,156 = 297,156/x
  3. Step 3: Cross multiply
    138,012x = 297,156 × 297,156
  4. Step 4: Simplify right side
    138,012x = 88,301,688,336
  5. Step 5: Solve for x
    x = 88,301,688,336/138,012
  6. Step 6: Final answer
    x = 639,811.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.