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Finding the Third Proportional to 435,224 and 665,716

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Solution

The third proportional to 435,224 and 665,716 is: 1,018,275.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,224 : 665,716 = 665,716 : x
  2. Step 2: Convert to fraction form
    435,224/665,716 = 665,716/x
  3. Step 3: Cross multiply
    435,224x = 665,716 × 665,716
  4. Step 4: Simplify right side
    435,224x = 443,177,792,656
  5. Step 5: Solve for x
    x = 443,177,792,656/435,224
  6. Step 6: Final answer
    x = 1,018,275.17

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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.