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Finding the Third Proportional to 128,926,080 and 199,924,848

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Solution

The third proportional to 128,926,080 and 199,924,848 is: 310,022,183.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,926,080 : 199,924,848 = 199,924,848 : x
  2. Step 2: Convert to fraction form
    128,926,080/199,924,848 = 199,924,848/x
  3. Step 3: Cross multiply
    128,926,080x = 199,924,848 × 199,924,848
  4. Step 4: Simplify right side
    128,926,080x = 39,969,944,847,823,104
  5. Step 5: Solve for x
    x = 39,969,944,847,823,104/128,926,080
  6. Step 6: Final answer
    x = 310,022,183.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.