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Finding the Third Proportional to 385,084.13 and 858,710.53

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Solution

The third proportional to 385,084.13 and 858,710.53 is: 1,914,864.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,084.13 : 858,710.53 = 858,710.53 : x
  2. Step 2: Convert to fraction form
    385,084.13/858,710.53 = 858,710.53/x
  3. Step 3: Cross multiply
    385,084.13x = 858,710.53 × 858,710.53
  4. Step 4: Simplify right side
    385,084.13x = 737,383,776,479.66
  5. Step 5: Solve for x
    x = 737,383,776,479.66/385,084.13
  6. Step 6: Final answer
    x = 1,914,864.13

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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.