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Finding the Third Proportional to 394,146 and 529,615.13

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Solution

The third proportional to 394,146 and 529,615.13 is: 711,645.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,146 : 529,615.13 = 529,615.13 : x
  2. Step 2: Convert to fraction form
    394,146/529,615.13 = 529,615.13/x
  3. Step 3: Cross multiply
    394,146x = 529,615.13 × 529,615.13
  4. Step 4: Simplify right side
    394,146x = 280,492,180,628.77
  5. Step 5: Solve for x
    x = 280,492,180,628.77/394,146
  6. Step 6: Final answer
    x = 711,645.38

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.