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Finding the Third Proportional to 251,950.50 and 393,265.13

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Solution

The third proportional to 251,950.50 and 393,265.13 is: 613,840.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,950.50 : 393,265.13 = 393,265.13 : x
  2. Step 2: Convert to fraction form
    251,950.50/393,265.13 = 393,265.13/x
  3. Step 3: Cross multiply
    251,950.50x = 393,265.13 × 393,265.13
  4. Step 4: Simplify right side
    251,950.50x = 154,657,458,541.27
  5. Step 5: Solve for x
    x = 154,657,458,541.27/251,950.50
  6. Step 6: Final answer
    x = 613,840.65

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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.