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Finding the Third Proportional to 344,094.75 and 740,920.50

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Solution

The third proportional to 344,094.75 and 740,920.50 is: 1,595,383.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,094.75 : 740,920.50 = 740,920.50 : x
  2. Step 2: Convert to fraction form
    344,094.75/740,920.50 = 740,920.50/x
  3. Step 3: Cross multiply
    344,094.75x = 740,920.50 × 740,920.50
  4. Step 4: Simplify right side
    344,094.75x = 548,963,187,320.25
  5. Step 5: Solve for x
    x = 548,963,187,320.25/344,094.75
  6. Step 6: Final answer
    x = 1,595,383.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.