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Finding the Third Proportional to 3,143,978 and 6,403,566

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Solution

The third proportional to 3,143,978 and 6,403,566 is: 13,042,603.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143,978 : 6,403,566 = 6,403,566 : x
  2. Step 2: Convert to fraction form
    3,143,978/6,403,566 = 6,403,566/x
  3. Step 3: Cross multiply
    3,143,978x = 6,403,566 × 6,403,566
  4. Step 4: Simplify right side
    3,143,978x = 41,005,657,516,356
  5. Step 5: Solve for x
    x = 41,005,657,516,356/3,143,978
  6. Step 6: Final answer
    x = 13,042,603.20

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.