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Finding the Third Proportional to 3,465,765 and 7,728,421

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Solution

The third proportional to 3,465,765 and 7,728,421 is: 17,233,854.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465,765 : 7,728,421 = 7,728,421 : x
  2. Step 2: Convert to fraction form
    3,465,765/7,728,421 = 7,728,421/x
  3. Step 3: Cross multiply
    3,465,765x = 7,728,421 × 7,728,421
  4. Step 4: Simplify right side
    3,465,765x = 59,728,491,153,241
  5. Step 5: Solve for x
    x = 59,728,491,153,241/3,465,765
  6. Step 6: Final answer
    x = 17,233,854.91

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.