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Finding the Third Proportional to 282,631,080 and 426,633,659

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Solution

The third proportional to 282,631,080 and 426,633,659 is: 644,006,593.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,631,080 : 426,633,659 = 426,633,659 : x
  2. Step 2: Convert to fraction form
    282,631,080/426,633,659 = 426,633,659/x
  3. Step 3: Cross multiply
    282,631,080x = 426,633,659 × 426,633,659
  4. Step 4: Simplify right side
    282,631,080x = 182,016,278,991,728,288
  5. Step 5: Solve for x
    x = 182,016,278,991,728,288/282,631,080
  6. Step 6: Final answer
    x = 644,006,593.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.