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Finding the Third Proportional to 223,050.75 and 345,494.25

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Solution

The third proportional to 223,050.75 and 345,494.25 is: 535,152.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,050.75 : 345,494.25 = 345,494.25 : x
  2. Step 2: Convert to fraction form
    223,050.75/345,494.25 = 345,494.25/x
  3. Step 3: Cross multiply
    223,050.75x = 345,494.25 × 345,494.25
  4. Step 4: Simplify right side
    223,050.75x = 119,366,276,783.06
  5. Step 5: Solve for x
    x = 119,366,276,783.06/223,050.75
  6. Step 6: Final answer
    x = 535,152.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.