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Finding the Third Proportional to 477,792 and 669,696

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Solution

The third proportional to 477,792 and 669,696 is: 938,677.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,792 : 669,696 = 669,696 : x
  2. Step 2: Convert to fraction form
    477,792/669,696 = 669,696/x
  3. Step 3: Cross multiply
    477,792x = 669,696 × 669,696
  4. Step 4: Simplify right side
    477,792x = 448,492,732,416
  5. Step 5: Solve for x
    x = 448,492,732,416/477,792
  6. Step 6: Final answer
    x = 938,677.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.