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Finding the Third Proportional to 310,855.13 and 494,307.38

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Solution

The third proportional to 310,855.13 and 494,307.38 is: 786,024.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,855.13 : 494,307.38 = 494,307.38 : x
  2. Step 2: Convert to fraction form
    310,855.13/494,307.38 = 494,307.38/x
  3. Step 3: Cross multiply
    310,855.13x = 494,307.38 × 494,307.38
  4. Step 4: Simplify right side
    310,855.13x = 244,339,780,979.39
  5. Step 5: Solve for x
    x = 244,339,780,979.39/310,855.13
  6. Step 6: Final answer
    x = 786,024.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.