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Finding the Third Proportional to 4,209,218 and 6,778,981

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Solution

The third proportional to 4,209,218 and 6,778,981 is: 10,917,605.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209,218 : 6,778,981 = 6,778,981 : x
  2. Step 2: Convert to fraction form
    4,209,218/6,778,981 = 6,778,981/x
  3. Step 3: Cross multiply
    4,209,218x = 6,778,981 × 6,778,981
  4. Step 4: Simplify right side
    4,209,218x = 45,954,583,398,361
  5. Step 5: Solve for x
    x = 45,954,583,398,361/4,209,218
  6. Step 6: Final answer
    x = 10,917,605.93

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.