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Finding the Third Proportional to 435,222.75 and 665,713.50

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Solution

The third proportional to 435,222.75 and 665,713.50 is: 1,018,270.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,222.75 : 665,713.50 = 665,713.50 : x
  2. Step 2: Convert to fraction form
    435,222.75/665,713.50 = 665,713.50/x
  3. Step 3: Cross multiply
    435,222.75x = 665,713.50 × 665,713.50
  4. Step 4: Simplify right side
    435,222.75x = 443,174,464,082.25
  5. Step 5: Solve for x
    x = 443,174,464,082.25/435,222.75
  6. Step 6: Final answer
    x = 1,018,270.45

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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.