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Finding the Third Proportional to 2,910,414 and 6,122,492.50

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Solution

The third proportional to 2,910,414 and 6,122,492.50 is: 12,879,581.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910,414 : 6,122,492.50 = 6,122,492.50 : x
  2. Step 2: Convert to fraction form
    2,910,414/6,122,492.50 = 6,122,492.50/x
  3. Step 3: Cross multiply
    2,910,414x = 6,122,492.50 × 6,122,492.50
  4. Step 4: Simplify right side
    2,910,414x = 37,484,914,412,556.25
  5. Step 5: Solve for x
    x = 37,484,914,412,556.25/2,910,414
  6. Step 6: Final answer
    x = 12,879,581.53

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.