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Finding the Third Proportional to 145,556 and 220,962

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Solution

The third proportional to 145,556 and 220,962 is: 335,432.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,556 : 220,962 = 220,962 : x
  2. Step 2: Convert to fraction form
    145,556/220,962 = 220,962/x
  3. Step 3: Cross multiply
    145,556x = 220,962 × 220,962
  4. Step 4: Simplify right side
    145,556x = 48,824,205,444
  5. Step 5: Solve for x
    x = 48,824,205,444/145,556
  6. Step 6: Final answer
    x = 335,432.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.