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Finding the Third Proportional to 2,310,866 and 3,473,427

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Solution

The third proportional to 2,310,866 and 3,473,427 is: 5,220,854.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310,866 : 3,473,427 = 3,473,427 : x
  2. Step 2: Convert to fraction form
    2,310,866/3,473,427 = 3,473,427/x
  3. Step 3: Cross multiply
    2,310,866x = 3,473,427 × 3,473,427
  4. Step 4: Simplify right side
    2,310,866x = 12,064,695,124,329
  5. Step 5: Solve for x
    x = 12,064,695,124,329/2,310,866
  6. Step 6: Final answer
    x = 5,220,854.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.