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Finding the Third Proportional to 272,184 and 355,786

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Solution

The third proportional to 272,184 and 355,786 is: 465,066.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,184 : 355,786 = 355,786 : x
  2. Step 2: Convert to fraction form
    272,184/355,786 = 355,786/x
  3. Step 3: Cross multiply
    272,184x = 355,786 × 355,786
  4. Step 4: Simplify right side
    272,184x = 126,583,677,796
  5. Step 5: Solve for x
    x = 126,583,677,796/272,184
  6. Step 6: Final answer
    x = 465,066.56

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.