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Finding the Third Proportional to 181,448 and 282,106

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Solution

The third proportional to 181,448 and 282,106 is: 438,603.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,448 : 282,106 = 282,106 : x
  2. Step 2: Convert to fraction form
    181,448/282,106 = 282,106/x
  3. Step 3: Cross multiply
    181,448x = 282,106 × 282,106
  4. Step 4: Simplify right side
    181,448x = 79,583,795,236
  5. Step 5: Solve for x
    x = 79,583,795,236/181,448
  6. Step 6: Final answer
    x = 438,603.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.