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Finding the Third Proportional to 332,440 and 727,196

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Solution

The third proportional to 332,440 and 727,196 is: 1,590,705.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,440 : 727,196 = 727,196 : x
  2. Step 2: Convert to fraction form
    332,440/727,196 = 727,196/x
  3. Step 3: Cross multiply
    332,440x = 727,196 × 727,196
  4. Step 4: Simplify right side
    332,440x = 528,814,022,416
  5. Step 5: Solve for x
    x = 528,814,022,416/332,440
  6. Step 6: Final answer
    x = 1,590,705.16

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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.