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Finding the Third Proportional to 385,079.88 and 858,702.13

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Solution

The third proportional to 385,079.88 and 858,702.13 is: 1,914,847.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,079.88 : 858,702.13 = 858,702.13 : x
  2. Step 2: Convert to fraction form
    385,079.88/858,702.13 = 858,702.13/x
  3. Step 3: Cross multiply
    385,079.88x = 858,702.13 × 858,702.13
  4. Step 4: Simplify right side
    385,079.88x = 737,369,339,479.52
  5. Step 5: Solve for x
    x = 737,369,339,479.52/385,079.88
  6. Step 6: Final answer
    x = 1,914,847.77

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.