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Finding the Third Proportional to 394,835 and 577,513

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Solution

The third proportional to 394,835 and 577,513 is: 844,710.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,835 : 577,513 = 577,513 : x
  2. Step 2: Convert to fraction form
    394,835/577,513 = 577,513/x
  3. Step 3: Cross multiply
    394,835x = 577,513 × 577,513
  4. Step 4: Simplify right side
    394,835x = 333,521,265,169
  5. Step 5: Solve for x
    x = 333,521,265,169/394,835
  6. Step 6: Final answer
    x = 844,710.49

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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.