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Finding the Third Proportional to 289,777.50 and 426,286.13

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Solution

The third proportional to 289,777.50 and 426,286.13 is: 627,101.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,777.50 : 426,286.13 = 426,286.13 : x
  2. Step 2: Convert to fraction form
    289,777.50/426,286.13 = 426,286.13/x
  3. Step 3: Cross multiply
    289,777.50x = 426,286.13 × 426,286.13
  4. Step 4: Simplify right side
    289,777.50x = 181,719,860,367.52
  5. Step 5: Solve for x
    x = 181,719,860,367.52/289,777.50
  6. Step 6: Final answer
    x = 627,101.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.