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Finding the Third Proportional to 2,137,428 and 3,346,110

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Solution

The third proportional to 2,137,428 and 3,346,110 is: 5,238,282.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137,428 : 3,346,110 = 3,346,110 : x
  2. Step 2: Convert to fraction form
    2,137,428/3,346,110 = 3,346,110/x
  3. Step 3: Cross multiply
    2,137,428x = 3,346,110 × 3,346,110
  4. Step 4: Simplify right side
    2,137,428x = 11,196,452,132,100
  5. Step 5: Solve for x
    x = 11,196,452,132,100/2,137,428
  6. Step 6: Final answer
    x = 5,238,282.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.