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Finding the Third Proportional to 452,745 and 942,696

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Solution

The third proportional to 452,745 and 942,696 is: 1,962,861.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,745 : 942,696 = 942,696 : x
  2. Step 2: Convert to fraction form
    452,745/942,696 = 942,696/x
  3. Step 3: Cross multiply
    452,745x = 942,696 × 942,696
  4. Step 4: Simplify right side
    452,745x = 888,675,748,416
  5. Step 5: Solve for x
    x = 888,675,748,416/452,745
  6. Step 6: Final answer
    x = 1,962,861.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.