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Finding the Third Proportional to 8,412,348 and 18,260,409

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Solution

The third proportional to 8,412,348 and 18,260,409 is: 39,637,273.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412,348 : 18,260,409 = 18,260,409 : x
  2. Step 2: Convert to fraction form
    8,412,348/18,260,409 = 18,260,409/x
  3. Step 3: Cross multiply
    8,412,348x = 18,260,409 × 18,260,409
  4. Step 4: Simplify right side
    8,412,348x = 333,442,536,847,281
  5. Step 5: Solve for x
    x = 333,442,536,847,281/8,412,348
  6. Step 6: Final answer
    x = 39,637,273.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.