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Finding the Third Proportional to 379,225.13 and 812,421.56

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Solution

The third proportional to 379,225.13 and 812,421.56 is: 1,740,466.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,225.13 : 812,421.56 = 812,421.56 : x
  2. Step 2: Convert to fraction form
    379,225.13/812,421.56 = 812,421.56/x
  3. Step 3: Cross multiply
    379,225.13x = 812,421.56 × 812,421.56
  4. Step 4: Simplify right side
    379,225.13x = 660,028,795,214.94
  5. Step 5: Solve for x
    x = 660,028,795,214.94/379,225.13
  6. Step 6: Final answer
    x = 1,740,466.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.