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Finding the Third Proportional to 315,577.13 and 443,881.69

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Solution

The third proportional to 315,577.13 and 443,881.69 is: 624,351.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,577.13 : 443,881.69 = 443,881.69 : x
  2. Step 2: Convert to fraction form
    315,577.13/443,881.69 = 443,881.69/x
  3. Step 3: Cross multiply
    315,577.13x = 443,881.69 × 443,881.69
  4. Step 4: Simplify right side
    315,577.13x = 197,030,952,497.85
  5. Step 5: Solve for x
    x = 197,030,952,497.85/315,577.13
  6. Step 6: Final answer
    x = 624,351.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.