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Finding the Third Proportional to 181,528 and 253,905

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Solution

The third proportional to 181,528 and 253,905 is: 355,139.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,528 : 253,905 = 253,905 : x
  2. Step 2: Convert to fraction form
    181,528/253,905 = 253,905/x
  3. Step 3: Cross multiply
    181,528x = 253,905 × 253,905
  4. Step 4: Simplify right side
    181,528x = 64,467,749,025
  5. Step 5: Solve for x
    x = 64,467,749,025/181,528
  6. Step 6: Final answer
    x = 355,139.42

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.