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Finding the Third Proportional to 447,611.50 and 872,381

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Solution

The third proportional to 447,611.50 and 872,381 is: 1,700,243.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,611.50 : 872,381 = 872,381 : x
  2. Step 2: Convert to fraction form
    447,611.50/872,381 = 872,381/x
  3. Step 3: Cross multiply
    447,611.50x = 872,381 × 872,381
  4. Step 4: Simplify right side
    447,611.50x = 761,048,609,161
  5. Step 5: Solve for x
    x = 761,048,609,161/447,611.50
  6. Step 6: Final answer
    x = 1,700,243.65

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.