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Finding the Third Proportional to 1,678,398 and 2,531,531

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Solution

The third proportional to 1,678,398 and 2,531,531 is: 3,818,313.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678,398 : 2,531,531 = 2,531,531 : x
  2. Step 2: Convert to fraction form
    1,678,398/2,531,531 = 2,531,531/x
  3. Step 3: Cross multiply
    1,678,398x = 2,531,531 × 2,531,531
  4. Step 4: Simplify right side
    1,678,398x = 6,408,649,203,961
  5. Step 5: Solve for x
    x = 6,408,649,203,961/1,678,398
  6. Step 6: Final answer
    x = 3,818,313.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.