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Finding the Third Proportional to 3,108,510 and 6,689,409

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Solution

The third proportional to 3,108,510 and 6,689,409 is: 14,395,383.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108,510 : 6,689,409 = 6,689,409 : x
  2. Step 2: Convert to fraction form
    3,108,510/6,689,409 = 6,689,409/x
  3. Step 3: Cross multiply
    3,108,510x = 6,689,409 × 6,689,409
  4. Step 4: Simplify right side
    3,108,510x = 44,748,192,769,281
  5. Step 5: Solve for x
    x = 44,748,192,769,281/3,108,510
  6. Step 6: Final answer
    x = 14,395,383.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.