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Finding the Third Proportional to 257,557.22 and 559,427.13

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Solution

The third proportional to 257,557.22 and 559,427.13 is: 1,215,103.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,557.22 : 559,427.13 = 559,427.13 : x
  2. Step 2: Convert to fraction form
    257,557.22/559,427.13 = 559,427.13/x
  3. Step 3: Cross multiply
    257,557.22x = 559,427.13 × 559,427.13
  4. Step 4: Simplify right side
    257,557.22x = 312,958,716,926.82
  5. Step 5: Solve for x
    x = 312,958,716,926.82/257,557.22
  6. Step 6: Final answer
    x = 1,215,103.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.