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Finding the Third Proportional to 177,796 and 272,628

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Solution

The third proportional to 177,796 and 272,628 is: 418,041.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,796 : 272,628 = 272,628 : x
  2. Step 2: Convert to fraction form
    177,796/272,628 = 272,628/x
  3. Step 3: Cross multiply
    177,796x = 272,628 × 272,628
  4. Step 4: Simplify right side
    177,796x = 74,326,026,384
  5. Step 5: Solve for x
    x = 74,326,026,384/177,796
  6. Step 6: Final answer
    x = 418,041.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.