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Finding the Third Proportional to 305,857 and 719,623

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Solution

The third proportional to 305,857 and 719,623 is: 1,693,135.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,857 : 719,623 = 719,623 : x
  2. Step 2: Convert to fraction form
    305,857/719,623 = 719,623/x
  3. Step 3: Cross multiply
    305,857x = 719,623 × 719,623
  4. Step 4: Simplify right side
    305,857x = 517,857,262,129
  5. Step 5: Solve for x
    x = 517,857,262,129/305,857
  6. Step 6: Final answer
    x = 1,693,135.23

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.