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Finding the Third Proportional to 312,801.75 and 647,762.06

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Solution

The third proportional to 312,801.75 and 647,762.06 is: 1,341,410.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,801.75 : 647,762.06 = 647,762.06 : x
  2. Step 2: Convert to fraction form
    312,801.75/647,762.06 = 647,762.06/x
  3. Step 3: Cross multiply
    312,801.75x = 647,762.06 × 647,762.06
  4. Step 4: Simplify right side
    312,801.75x = 419,595,689,614.25
  5. Step 5: Solve for x
    x = 419,595,689,614.25/312,801.75
  6. Step 6: Final answer
    x = 1,341,410.94

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.