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Finding the Third Proportional to 2,910,402 and 6,122,468.25

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Solution

The third proportional to 2,910,402 and 6,122,468.25 is: 12,879,532.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910,402 : 6,122,468.25 = 6,122,468.25 : x
  2. Step 2: Convert to fraction form
    2,910,402/6,122,468.25 = 6,122,468.25/x
  3. Step 3: Cross multiply
    2,910,402x = 6,122,468.25 × 6,122,468.25
  4. Step 4: Simplify right side
    2,910,402x = 37,484,617,472,258.06
  5. Step 5: Solve for x
    x = 37,484,617,472,258.06/2,910,402
  6. Step 6: Final answer
    x = 12,879,532.61

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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.