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Finding the Third Proportional to 2,979,164 and 6,378,216

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Solution

The third proportional to 2,979,164 and 6,378,216 is: 13,655,387.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,979,164 : 6,378,216 = 6,378,216 : x
  2. Step 2: Convert to fraction form
    2,979,164/6,378,216 = 6,378,216/x
  3. Step 3: Cross multiply
    2,979,164x = 6,378,216 × 6,378,216
  4. Step 4: Simplify right side
    2,979,164x = 40,681,639,342,656
  5. Step 5: Solve for x
    x = 40,681,639,342,656/2,979,164
  6. Step 6: Final answer
    x = 13,655,387.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.