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Finding the Third Proportional to 340,805.25 and 716,865.75

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Solution

The third proportional to 340,805.25 and 716,865.75 is: 1,507,889.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,805.25 : 716,865.75 = 716,865.75 : x
  2. Step 2: Convert to fraction form
    340,805.25/716,865.75 = 716,865.75/x
  3. Step 3: Cross multiply
    340,805.25x = 716,865.75 × 716,865.75
  4. Step 4: Simplify right side
    340,805.25x = 513,896,503,523.06
  5. Step 5: Solve for x
    x = 513,896,503,523.06/340,805.25
  6. Step 6: Final answer
    x = 1,507,889.05

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.