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Finding the Third Proportional to 338,078.81 and 483,421.92

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Solution

The third proportional to 338,078.81 and 483,421.92 is: 691,249.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,078.81 : 483,421.92 = 483,421.92 : x
  2. Step 2: Convert to fraction form
    338,078.81/483,421.92 = 483,421.92/x
  3. Step 3: Cross multiply
    338,078.81x = 483,421.92 × 483,421.92
  4. Step 4: Simplify right side
    338,078.81x = 233,696,754,549.32
  5. Step 5: Solve for x
    x = 233,696,754,549.32/338,078.81
  6. Step 6: Final answer
    x = 691,249.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.