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Finding the Third Proportional to 332,566 and 727,242

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Solution

The third proportional to 332,566 and 727,242 is: 1,590,303.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,566 : 727,242 = 727,242 : x
  2. Step 2: Convert to fraction form
    332,566/727,242 = 727,242/x
  3. Step 3: Cross multiply
    332,566x = 727,242 × 727,242
  4. Step 4: Simplify right side
    332,566x = 528,880,926,564
  5. Step 5: Solve for x
    x = 528,880,926,564/332,566
  6. Step 6: Final answer
    x = 1,590,303.66

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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.