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Finding the Third Proportional to 1,278,681 and 2,714,981

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Solution

The third proportional to 1,278,681 and 2,714,981 is: 5,764,629.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278,681 : 2,714,981 = 2,714,981 : x
  2. Step 2: Convert to fraction form
    1,278,681/2,714,981 = 2,714,981/x
  3. Step 3: Cross multiply
    1,278,681x = 2,714,981 × 2,714,981
  4. Step 4: Simplify right side
    1,278,681x = 7,371,121,830,361
  5. Step 5: Solve for x
    x = 7,371,121,830,361/1,278,681
  6. Step 6: Final answer
    x = 5,764,629.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.