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Finding the Third Proportional to 287,696 and 605,726

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Solution

The third proportional to 287,696 and 605,726 is: 1,275,318.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,696 : 605,726 = 605,726 : x
  2. Step 2: Convert to fraction form
    287,696/605,726 = 605,726/x
  3. Step 3: Cross multiply
    287,696x = 605,726 × 605,726
  4. Step 4: Simplify right side
    287,696x = 366,903,987,076
  5. Step 5: Solve for x
    x = 366,903,987,076/287,696
  6. Step 6: Final answer
    x = 1,275,318.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.