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Finding the Third Proportional to 458,869 and 738,742

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Solution

The third proportional to 458,869 and 738,742 is: 1,189,314.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,869 : 738,742 = 738,742 : x
  2. Step 2: Convert to fraction form
    458,869/738,742 = 738,742/x
  3. Step 3: Cross multiply
    458,869x = 738,742 × 738,742
  4. Step 4: Simplify right side
    458,869x = 545,739,742,564
  5. Step 5: Solve for x
    x = 545,739,742,564/458,869
  6. Step 6: Final answer
    x = 1,189,314.91

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.