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Finding the Third Proportional to 338,768 and 724,208

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Solution

The third proportional to 338,768 and 724,208 is: 1,548,189.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,768 : 724,208 = 724,208 : x
  2. Step 2: Convert to fraction form
    338,768/724,208 = 724,208/x
  3. Step 3: Cross multiply
    338,768x = 724,208 × 724,208
  4. Step 4: Simplify right side
    338,768x = 524,477,227,264
  5. Step 5: Solve for x
    x = 524,477,227,264/338,768
  6. Step 6: Final answer
    x = 1,548,189.99

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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.