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Finding the Third Proportional to 177,421 and 282,159

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Solution

The third proportional to 177,421 and 282,159 is: 448,727.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,421 : 282,159 = 282,159 : x
  2. Step 2: Convert to fraction form
    177,421/282,159 = 282,159/x
  3. Step 3: Cross multiply
    177,421x = 282,159 × 282,159
  4. Step 4: Simplify right side
    177,421x = 79,613,701,281
  5. Step 5: Solve for x
    x = 79,613,701,281/177,421
  6. Step 6: Final answer
    x = 448,727.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.