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Finding the Third Proportional to 157,740 and 238,491

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Solution

The third proportional to 157,740 and 238,491 is: 360,580.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,740 : 238,491 = 238,491 : x
  2. Step 2: Convert to fraction form
    157,740/238,491 = 238,491/x
  3. Step 3: Cross multiply
    157,740x = 238,491 × 238,491
  4. Step 4: Simplify right side
    157,740x = 56,877,957,081
  5. Step 5: Solve for x
    x = 56,877,957,081/157,740
  6. Step 6: Final answer
    x = 360,580.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.