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Finding the Third Proportional to 305,756 and 719,424

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Solution

The third proportional to 305,756 and 719,424 is: 1,692,757.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,756 : 719,424 = 719,424 : x
  2. Step 2: Convert to fraction form
    305,756/719,424 = 719,424/x
  3. Step 3: Cross multiply
    305,756x = 719,424 × 719,424
  4. Step 4: Simplify right side
    305,756x = 517,570,891,776
  5. Step 5: Solve for x
    x = 517,570,891,776/305,756
  6. Step 6: Final answer
    x = 1,692,757.92

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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.