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Finding the Third Proportional to 181,220 and 261,030

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Solution

The third proportional to 181,220 and 261,030 is: 375,988.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,220 : 261,030 = 261,030 : x
  2. Step 2: Convert to fraction form
    181,220/261,030 = 261,030/x
  3. Step 3: Cross multiply
    181,220x = 261,030 × 261,030
  4. Step 4: Simplify right side
    181,220x = 68,136,660,900
  5. Step 5: Solve for x
    x = 68,136,660,900/181,220
  6. Step 6: Final answer
    x = 375,988.64

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.