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Finding the Third Proportional to 309,580.10 and 670,682.85

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Solution

The third proportional to 309,580.10 and 670,682.85 is: 1,452,985.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,580.10 : 670,682.85 = 670,682.85 : x
  2. Step 2: Convert to fraction form
    309,580.10/670,682.85 = 670,682.85/x
  3. Step 3: Cross multiply
    309,580.10x = 670,682.85 × 670,682.85
  4. Step 4: Simplify right side
    309,580.10x = 449,815,482,140.28
  5. Step 5: Solve for x
    x = 449,815,482,140.28/309,580.10
  6. Step 6: Final answer
    x = 1,452,985.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.