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Finding the Third Proportional to 282,631,078 and 426,633,656

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Solution

The third proportional to 282,631,078 and 426,633,656 is: 644,006,588.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,631,078 : 426,633,656 = 426,633,656 : x
  2. Step 2: Convert to fraction form
    282,631,078/426,633,656 = 426,633,656/x
  3. Step 3: Cross multiply
    282,631,078x = 426,633,656 × 426,633,656
  4. Step 4: Simplify right side
    282,631,078x = 182,016,276,431,926,336
  5. Step 5: Solve for x
    x = 182,016,276,431,926,336/282,631,078
  6. Step 6: Final answer
    x = 644,006,588.80

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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.