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Finding the Third Proportional to 314,930.53 and 478,227.80

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Solution

The third proportional to 314,930.53 and 478,227.80 is: 726,197.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,930.53 : 478,227.80 = 478,227.80 : x
  2. Step 2: Convert to fraction form
    314,930.53/478,227.80 = 478,227.80/x
  3. Step 3: Cross multiply
    314,930.53x = 478,227.80 × 478,227.80
  4. Step 4: Simplify right side
    314,930.53x = 228,701,825,703.92
  5. Step 5: Solve for x
    x = 228,701,825,703.92/314,930.53
  6. Step 6: Final answer
    x = 726,197.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.