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Finding the Third Proportional to 305,213.06 and 669,459.94

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Solution

The third proportional to 305,213.06 and 669,459.94 is: 1,468,405.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,213.06 : 669,459.94 = 669,459.94 : x
  2. Step 2: Convert to fraction form
    305,213.06/669,459.94 = 669,459.94/x
  3. Step 3: Cross multiply
    305,213.06x = 669,459.94 × 669,459.94
  4. Step 4: Simplify right side
    305,213.06x = 448,176,607,917.50
  5. Step 5: Solve for x
    x = 448,176,607,917.50/305,213.06
  6. Step 6: Final answer
    x = 1,468,405.72

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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.