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Finding the Third Proportional to 222,925.50 and 345,326.63

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Solution

The third proportional to 222,925.50 and 345,326.63 is: 534,934.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,925.50 : 345,326.63 = 345,326.63 : x
  2. Step 2: Convert to fraction form
    222,925.50/345,326.63 = 345,326.63/x
  3. Step 3: Cross multiply
    222,925.50x = 345,326.63 × 345,326.63
  4. Step 4: Simplify right side
    222,925.50x = 119,250,477,933.89
  5. Step 5: Solve for x
    x = 119,250,477,933.89/222,925.50
  6. Step 6: Final answer
    x = 534,934.22

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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.