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Finding the Third Proportional to 156,698 and 238,718

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Solution

The third proportional to 156,698 and 238,718 is: 363,669.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,698 : 238,718 = 238,718 : x
  2. Step 2: Convert to fraction form
    156,698/238,718 = 238,718/x
  3. Step 3: Cross multiply
    156,698x = 238,718 × 238,718
  4. Step 4: Simplify right side
    156,698x = 56,986,283,524
  5. Step 5: Solve for x
    x = 56,986,283,524/156,698
  6. Step 6: Final answer
    x = 363,669.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.