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Finding the Third Proportional to 306,837 and 656,320.50

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Solution

The third proportional to 306,837 and 656,320.50 is: 1,403,861.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,837 : 656,320.50 = 656,320.50 : x
  2. Step 2: Convert to fraction form
    306,837/656,320.50 = 656,320.50/x
  3. Step 3: Cross multiply
    306,837x = 656,320.50 × 656,320.50
  4. Step 4: Simplify right side
    306,837x = 430,756,598,720.25
  5. Step 5: Solve for x
    x = 430,756,598,720.25/306,837
  6. Step 6: Final answer
    x = 1,403,861.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.