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Finding the Third Proportional to 289,444.50 and 447,294

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Solution

The third proportional to 289,444.50 and 447,294 is: 691,227.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,444.50 : 447,294 = 447,294 : x
  2. Step 2: Convert to fraction form
    289,444.50/447,294 = 447,294/x
  3. Step 3: Cross multiply
    289,444.50x = 447,294 × 447,294
  4. Step 4: Simplify right side
    289,444.50x = 200,071,922,436
  5. Step 5: Solve for x
    x = 200,071,922,436/289,444.50
  6. Step 6: Final answer
    x = 691,227.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.