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Finding the Third Proportional to 259,748 and 351,990

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Solution

The third proportional to 259,748 and 351,990 is: 476,989.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,748 : 351,990 = 351,990 : x
  2. Step 2: Convert to fraction form
    259,748/351,990 = 351,990/x
  3. Step 3: Cross multiply
    259,748x = 351,990 × 351,990
  4. Step 4: Simplify right side
    259,748x = 123,896,960,100
  5. Step 5: Solve for x
    x = 123,896,960,100/259,748
  6. Step 6: Final answer
    x = 476,989.08

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.