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Finding the Third Proportional to 375,438 and 816,972

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Solution

The third proportional to 375,438 and 816,972 is: 1,777,772.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,438 : 816,972 = 816,972 : x
  2. Step 2: Convert to fraction form
    375,438/816,972 = 816,972/x
  3. Step 3: Cross multiply
    375,438x = 816,972 × 816,972
  4. Step 4: Simplify right side
    375,438x = 667,443,248,784
  5. Step 5: Solve for x
    x = 667,443,248,784/375,438
  6. Step 6: Final answer
    x = 1,777,772.23

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Why These Related Problems?

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