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Finding the Third Proportional to 1,690,378 and 3,758,701

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Solution

The third proportional to 1,690,378 and 3,758,701 is: 8,357,795.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690,378 : 3,758,701 = 3,758,701 : x
  2. Step 2: Convert to fraction form
    1,690,378/3,758,701 = 3,758,701/x
  3. Step 3: Cross multiply
    1,690,378x = 3,758,701 × 3,758,701
  4. Step 4: Simplify right side
    1,690,378x = 14,127,833,207,401
  5. Step 5: Solve for x
    x = 14,127,833,207,401/1,690,378
  6. Step 6: Final answer
    x = 8,357,795.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.