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Finding the Third Proportional to 435,066 and 612,680

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Solution

The third proportional to 435,066 and 612,680 is: 862,804.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,066 : 612,680 = 612,680 : x
  2. Step 2: Convert to fraction form
    435,066/612,680 = 612,680/x
  3. Step 3: Cross multiply
    435,066x = 612,680 × 612,680
  4. Step 4: Simplify right side
    435,066x = 375,376,782,400
  5. Step 5: Solve for x
    x = 375,376,782,400/435,066
  6. Step 6: Final answer
    x = 862,804.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.