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Finding the Third Proportional to 257,747.06 and 565,339.50

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Solution

The third proportional to 257,747.06 and 565,339.50 is: 1,240,009.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,747.06 : 565,339.50 = 565,339.50 : x
  2. Step 2: Convert to fraction form
    257,747.06/565,339.50 = 565,339.50/x
  3. Step 3: Cross multiply
    257,747.06x = 565,339.50 × 565,339.50
  4. Step 4: Simplify right side
    257,747.06x = 319,608,750,260.25
  5. Step 5: Solve for x
    x = 319,608,750,260.25/257,747.06
  6. Step 6: Final answer
    x = 1,240,009.28

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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.