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Finding the Third Proportional to 344,664 and 720,720

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Solution

The third proportional to 344,664 and 720,720 is: 1,507,083.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,664 : 720,720 = 720,720 : x
  2. Step 2: Convert to fraction form
    344,664/720,720 = 720,720/x
  3. Step 3: Cross multiply
    344,664x = 720,720 × 720,720
  4. Step 4: Simplify right side
    344,664x = 519,437,318,400
  5. Step 5: Solve for x
    x = 519,437,318,400/344,664
  6. Step 6: Final answer
    x = 1,507,083.18

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.