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Finding the Third Proportional to 103,056,624 and 222,254,496

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Solution

The third proportional to 103,056,624 and 222,254,496 is: 479,319,611.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,056,624 : 222,254,496 = 222,254,496 : x
  2. Step 2: Convert to fraction form
    103,056,624/222,254,496 = 222,254,496/x
  3. Step 3: Cross multiply
    103,056,624x = 222,254,496 × 222,254,496
  4. Step 4: Simplify right side
    103,056,624x = 49,397,060,992,214,016
  5. Step 5: Solve for x
    x = 49,397,060,992,214,016/103,056,624
  6. Step 6: Final answer
    x = 479,319,611.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.