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Finding the Third Proportional to 180,042 and 290,013

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Solution

The third proportional to 180,042 and 290,013 is: 467,155.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,042 : 290,013 = 290,013 : x
  2. Step 2: Convert to fraction form
    180,042/290,013 = 290,013/x
  3. Step 3: Cross multiply
    180,042x = 290,013 × 290,013
  4. Step 4: Simplify right side
    180,042x = 84,107,540,169
  5. Step 5: Solve for x
    x = 84,107,540,169/180,042
  6. Step 6: Final answer
    x = 467,155.11

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.