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Finding the Third Proportional to 220,914.38 and 345,587.06

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Solution

The third proportional to 220,914.38 and 345,587.06 is: 540,618.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,914.38 : 345,587.06 = 345,587.06 : x
  2. Step 2: Convert to fraction form
    220,914.38/345,587.06 = 345,587.06/x
  3. Step 3: Cross multiply
    220,914.38x = 345,587.06 × 345,587.06
  4. Step 4: Simplify right side
    220,914.38x = 119,430,417,767.38
  5. Step 5: Solve for x
    x = 119,430,417,767.38/220,914.38
  6. Step 6: Final answer
    x = 540,618.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.