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Finding the Third Proportional to 406,303,832 and 618,961,908

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Solution

The third proportional to 406,303,832 and 618,961,908 is: 942,924,514.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,303,832 : 618,961,908 = 618,961,908 : x
  2. Step 2: Convert to fraction form
    406,303,832/618,961,908 = 618,961,908/x
  3. Step 3: Cross multiply
    406,303,832x = 618,961,908 × 618,961,908
  4. Step 4: Simplify right side
    406,303,832x = 383,113,843,555,000,448
  5. Step 5: Solve for x
    x = 383,113,843,555,000,448/406,303,832
  6. Step 6: Final answer
    x = 942,924,514.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.