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Finding the Third Proportional to 180,270 and 417,309

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Solution

The third proportional to 180,270 and 417,309 is: 966,033.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,270 : 417,309 = 417,309 : x
  2. Step 2: Convert to fraction form
    180,270/417,309 = 417,309/x
  3. Step 3: Cross multiply
    180,270x = 417,309 × 417,309
  4. Step 4: Simplify right side
    180,270x = 174,146,801,481
  5. Step 5: Solve for x
    x = 174,146,801,481/180,270
  6. Step 6: Final answer
    x = 966,033.18

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.