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Finding the Third Proportional to 167,428 and 238,642

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Solution

The third proportional to 167,428 and 238,642 is: 340,146.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,428 : 238,642 = 238,642 : x
  2. Step 2: Convert to fraction form
    167,428/238,642 = 238,642/x
  3. Step 3: Cross multiply
    167,428x = 238,642 × 238,642
  4. Step 4: Simplify right side
    167,428x = 56,950,004,164
  5. Step 5: Solve for x
    x = 56,950,004,164/167,428
  6. Step 6: Final answer
    x = 340,146.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.