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Finding the Third Proportional to 316,021.50 and 513,408.38

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Solution

The third proportional to 316,021.50 and 513,408.38 is: 834,083.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,021.50 : 513,408.38 = 513,408.38 : x
  2. Step 2: Convert to fraction form
    316,021.50/513,408.38 = 513,408.38/x
  3. Step 3: Cross multiply
    316,021.50x = 513,408.38 × 513,408.38
  4. Step 4: Simplify right side
    316,021.50x = 263,588,159,520.14
  5. Step 5: Solve for x
    x = 263,588,159,520.14/316,021.50
  6. Step 6: Final answer
    x = 834,083.00

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.