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Finding the Third Proportional to 181,507 and 256,677

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Solution

The third proportional to 181,507 and 256,677 is: 362,978.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,507 : 256,677 = 256,677 : x
  2. Step 2: Convert to fraction form
    181,507/256,677 = 256,677/x
  3. Step 3: Cross multiply
    181,507x = 256,677 × 256,677
  4. Step 4: Simplify right side
    181,507x = 65,883,082,329
  5. Step 5: Solve for x
    x = 65,883,082,329/181,507
  6. Step 6: Final answer
    x = 362,978.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.