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Finding the Third Proportional to 145,860 and 238,173

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Solution

The third proportional to 145,860 and 238,173 is: 388,909.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,860 : 238,173 = 238,173 : x
  2. Step 2: Convert to fraction form
    145,860/238,173 = 238,173/x
  3. Step 3: Cross multiply
    145,860x = 238,173 × 238,173
  4. Step 4: Simplify right side
    145,860x = 56,726,377,929
  5. Step 5: Solve for x
    x = 56,726,377,929/145,860
  6. Step 6: Final answer
    x = 388,909.76

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.