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Finding the Third Proportional to 338,692 and 724,088

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Solution

The third proportional to 338,692 and 724,088 is: 1,548,024.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,692 : 724,088 = 724,088 : x
  2. Step 2: Convert to fraction form
    338,692/724,088 = 724,088/x
  3. Step 3: Cross multiply
    338,692x = 724,088 × 724,088
  4. Step 4: Simplify right side
    338,692x = 524,303,431,744
  5. Step 5: Solve for x
    x = 524,303,431,744/338,692
  6. Step 6: Final answer
    x = 1,548,024.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.