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Finding the Third Proportional to 1,478,409 and 3,207,777

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Solution

The third proportional to 1,478,409 and 3,207,777 is: 6,960,072.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478,409 : 3,207,777 = 3,207,777 : x
  2. Step 2: Convert to fraction form
    1,478,409/3,207,777 = 3,207,777/x
  3. Step 3: Cross multiply
    1,478,409x = 3,207,777 × 3,207,777
  4. Step 4: Simplify right side
    1,478,409x = 10,289,833,281,729
  5. Step 5: Solve for x
    x = 10,289,833,281,729/1,478,409
  6. Step 6: Final answer
    x = 6,960,072.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.