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Finding the Third Proportional to 678,308,400 and 1,469,303,080

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Solution

The third proportional to 678,308,400 and 1,469,303,080 is: 3,182,699,109.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,308,400 : 1,469,303,080 = 1,469,303,080 : x
  2. Step 2: Convert to fraction form
    678,308,400/1,469,303,080 = 1,469,303,080/x
  3. Step 3: Cross multiply
    678,308,400x = 1,469,303,080 × 1,469,303,080
  4. Step 4: Simplify right side
    678,308,400x = 2,158,851,540,897,486,336
  5. Step 5: Solve for x
    x = 2,158,851,540,897,486,336/678,308,400
  6. Step 6: Final answer
    x = 3,182,699,109.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.