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Finding the Third Proportional to 257,357.25 and 564,529.50

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Solution

The third proportional to 257,357.25 and 564,529.50 is: 1,238,331.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,357.25 : 564,529.50 = 564,529.50 : x
  2. Step 2: Convert to fraction form
    257,357.25/564,529.50 = 564,529.50/x
  3. Step 3: Cross multiply
    257,357.25x = 564,529.50 × 564,529.50
  4. Step 4: Simplify right side
    257,357.25x = 318,693,556,370.25
  5. Step 5: Solve for x
    x = 318,693,556,370.25/257,357.25
  6. Step 6: Final answer
    x = 1,238,331.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.