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Finding the Third Proportional to 425,739.75 and 640,386.75

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Solution

The third proportional to 425,739.75 and 640,386.75 is: 963,253.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,739.75 : 640,386.75 = 640,386.75 : x
  2. Step 2: Convert to fraction form
    425,739.75/640,386.75 = 640,386.75/x
  3. Step 3: Cross multiply
    425,739.75x = 640,386.75 × 640,386.75
  4. Step 4: Simplify right side
    425,739.75x = 410,095,189,575.56
  5. Step 5: Solve for x
    x = 410,095,189,575.56/425,739.75
  6. Step 6: Final answer
    x = 963,253.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.