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Finding the Third Proportional to 315,582.75 and 443,890.13

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Solution

The third proportional to 315,582.75 and 443,890.13 is: 624,363.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,582.75 : 443,890.13 = 443,890.13 : x
  2. Step 2: Convert to fraction form
    315,582.75/443,890.13 = 443,890.13/x
  3. Step 3: Cross multiply
    315,582.75x = 443,890.13 × 443,890.13
  4. Step 4: Simplify right side
    315,582.75x = 197,038,443,072.52
  5. Step 5: Solve for x
    x = 197,038,443,072.52/315,582.75
  6. Step 6: Final answer
    x = 624,363.79

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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.