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Finding the Third Proportional to 161,578 and 345,620

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Solution

The third proportional to 161,578 and 345,620 is: 739,291.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,578 : 345,620 = 345,620 : x
  2. Step 2: Convert to fraction form
    161,578/345,620 = 345,620/x
  3. Step 3: Cross multiply
    161,578x = 345,620 × 345,620
  4. Step 4: Simplify right side
    161,578x = 119,453,184,400
  5. Step 5: Solve for x
    x = 119,453,184,400/161,578
  6. Step 6: Final answer
    x = 739,291.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.