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Finding the Third Proportional to 535,815 and 727,686

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Solution

The third proportional to 535,815 and 727,686 is: 988,264.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,815 : 727,686 = 727,686 : x
  2. Step 2: Convert to fraction form
    535,815/727,686 = 727,686/x
  3. Step 3: Cross multiply
    535,815x = 727,686 × 727,686
  4. Step 4: Simplify right side
    535,815x = 529,526,914,596
  5. Step 5: Solve for x
    x = 529,526,914,596/535,815
  6. Step 6: Final answer
    x = 988,264.45

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.