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Finding the Third Proportional to 330,588 and 722,772

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Solution

The third proportional to 330,588 and 722,772 is: 1,580,212.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,588 : 722,772 = 722,772 : x
  2. Step 2: Convert to fraction form
    330,588/722,772 = 722,772/x
  3. Step 3: Cross multiply
    330,588x = 722,772 × 722,772
  4. Step 4: Simplify right side
    330,588x = 522,399,363,984
  5. Step 5: Solve for x
    x = 522,399,363,984/330,588
  6. Step 6: Final answer
    x = 1,580,212.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.