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Finding the Third Proportional to 12,728,931.75 and 28,338,966

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Solution

The third proportional to 12,728,931.75 and 28,338,966 is: 63,092,253.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,728,931.75 : 28,338,966 = 28,338,966 : x
  2. Step 2: Convert to fraction form
    12,728,931.75/28,338,966 = 28,338,966/x
  3. Step 3: Cross multiply
    12,728,931.75x = 28,338,966 × 28,338,966
  4. Step 4: Simplify right side
    12,728,931.75x = 803,096,993,949,156
  5. Step 5: Solve for x
    x = 803,096,993,949,156/12,728,931.75
  6. Step 6: Final answer
    x = 63,092,253.91

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.