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Finding the Third Proportional to 435,219.75 and 665,708.63

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Solution

The third proportional to 435,219.75 and 665,708.63 is: 1,018,262.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,219.75 : 665,708.63 = 665,708.63 : x
  2. Step 2: Convert to fraction form
    435,219.75/665,708.63 = 665,708.63/x
  3. Step 3: Cross multiply
    435,219.75x = 665,708.63 × 665,708.63
  4. Step 4: Simplify right side
    435,219.75x = 443,167,973,399.39
  5. Step 5: Solve for x
    x = 443,167,973,399.39/435,219.75
  6. Step 6: Final answer
    x = 1,018,262.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.