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Finding the Third Proportional to 394,881.75 and 577,513.13

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Solution

The third proportional to 394,881.75 and 577,513.13 is: 844,610.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,881.75 : 577,513.13 = 577,513.13 : x
  2. Step 2: Convert to fraction form
    394,881.75/577,513.13 = 577,513.13/x
  3. Step 3: Cross multiply
    394,881.75x = 577,513.13 × 577,513.13
  4. Step 4: Simplify right side
    394,881.75x = 333,521,409,547.27
  5. Step 5: Solve for x
    x = 333,521,409,547.27/394,881.75
  6. Step 6: Final answer
    x = 844,610.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.