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Finding the Third Proportional to 389,926,149 and 605,713,839

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Solution

The third proportional to 389,926,149 and 605,713,839 is: 940,919,852.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,926,149 : 605,713,839 = 605,713,839 : x
  2. Step 2: Convert to fraction form
    389,926,149/605,713,839 = 605,713,839/x
  3. Step 3: Cross multiply
    389,926,149x = 605,713,839 × 605,713,839
  4. Step 4: Simplify right side
    389,926,149x = 366,889,254,756,117,952
  5. Step 5: Solve for x
    x = 366,889,254,756,117,952/389,926,149
  6. Step 6: Final answer
    x = 940,919,852.89

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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.