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Finding the Third Proportional to 257,782.50 and 565,390.13

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Solution

The third proportional to 257,782.50 and 565,390.13 is: 1,240,060.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,782.50 : 565,390.13 = 565,390.13 : x
  2. Step 2: Convert to fraction form
    257,782.50/565,390.13 = 565,390.13/x
  3. Step 3: Cross multiply
    257,782.50x = 565,390.13 × 565,390.13
  4. Step 4: Simplify right side
    257,782.50x = 319,665,993,447.52
  5. Step 5: Solve for x
    x = 319,665,993,447.52/257,782.50
  6. Step 6: Final answer
    x = 1,240,060.88

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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.