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Finding the Third Proportional to 477,696 and 721,920

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Solution

The third proportional to 477,696 and 721,920 is: 1,091,004.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,696 : 721,920 = 721,920 : x
  2. Step 2: Convert to fraction form
    477,696/721,920 = 721,920/x
  3. Step 3: Cross multiply
    477,696x = 721,920 × 721,920
  4. Step 4: Simplify right side
    477,696x = 521,168,486,400
  5. Step 5: Solve for x
    x = 521,168,486,400/477,696
  6. Step 6: Final answer
    x = 1,091,004.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.