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Finding the Third Proportional to 305,766 and 719,448

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Solution

The third proportional to 305,766 and 719,448 is: 1,692,815.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,766 : 719,448 = 719,448 : x
  2. Step 2: Convert to fraction form
    305,766/719,448 = 719,448/x
  3. Step 3: Cross multiply
    305,766x = 719,448 × 719,448
  4. Step 4: Simplify right side
    305,766x = 517,605,424,704
  5. Step 5: Solve for x
    x = 517,605,424,704/305,766
  6. Step 6: Final answer
    x = 1,692,815.50

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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.