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Finding the Third Proportional to 187,078 and 397,528

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Solution

The third proportional to 187,078 and 397,528 is: 844,719.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,078 : 397,528 = 397,528 : x
  2. Step 2: Convert to fraction form
    187,078/397,528 = 397,528/x
  3. Step 3: Cross multiply
    187,078x = 397,528 × 397,528
  4. Step 4: Simplify right side
    187,078x = 158,028,510,784
  5. Step 5: Solve for x
    x = 158,028,510,784/187,078
  6. Step 6: Final answer
    x = 844,719.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.