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Finding the Third Proportional to 218,565,573 and 356,860,128

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Solution

The third proportional to 218,565,573 and 356,860,128 is: 582,658,783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,565,573 : 356,860,128 = 356,860,128 : x
  2. Step 2: Convert to fraction form
    218,565,573/356,860,128 = 356,860,128/x
  3. Step 3: Cross multiply
    218,565,573x = 356,860,128 × 356,860,128
  4. Step 4: Simplify right side
    218,565,573x = 127,349,150,956,176,384
  5. Step 5: Solve for x
    x = 127,349,150,956,176,384/218,565,573
  6. Step 6: Final answer
    x = 582,658,783.85

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.