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Finding the Third Proportional to 182,172,862.69 and 396,691,455.38

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Solution

The third proportional to 182,172,862.69 and 396,691,455.38 is: 863,817,521.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,172,862.69 : 396,691,455.38 = 396,691,455.38 : x
  2. Step 2: Convert to fraction form
    182,172,862.69/396,691,455.38 = 396,691,455.38/x
  3. Step 3: Cross multiply
    182,172,862.69x = 396,691,455.38 × 396,691,455.38
  4. Step 4: Simplify right side
    182,172,862.69x = 157,364,110,767,535,616
  5. Step 5: Solve for x
    x = 157,364,110,767,535,616/182,172,862.69
  6. Step 6: Final answer
    x = 863,817,521.70

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.