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Finding the Third Proportional to 306,874.83 and 670,885.03

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Solution

The third proportional to 306,874.83 and 670,885.03 is: 1,466,678.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,874.83 : 670,885.03 = 670,885.03 : x
  2. Step 2: Convert to fraction form
    306,874.83/670,885.03 = 670,885.03/x
  3. Step 3: Cross multiply
    306,874.83x = 670,885.03 × 670,885.03
  4. Step 4: Simplify right side
    306,874.83x = 450,086,725,155.31
  5. Step 5: Solve for x
    x = 450,086,725,155.31/306,874.83
  6. Step 6: Final answer
    x = 1,466,678.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.