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Finding the Third Proportional to 391,336.31 and 830,649.94

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Solution

The third proportional to 391,336.31 and 830,649.94 is: 1,763,136.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,336.31 : 830,649.94 = 830,649.94 : x
  2. Step 2: Convert to fraction form
    391,336.31/830,649.94 = 830,649.94/x
  3. Step 3: Cross multiply
    391,336.31x = 830,649.94 × 830,649.94
  4. Step 4: Simplify right side
    391,336.31x = 689,979,318,668.75
  5. Step 5: Solve for x
    x = 689,979,318,668.75/391,336.31
  6. Step 6: Final answer
    x = 1,763,136.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.