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Finding the Third Proportional to 416,988 and 908,820

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Solution

The third proportional to 416,988 and 908,820 is: 1,980,761.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,988 : 908,820 = 908,820 : x
  2. Step 2: Convert to fraction form
    416,988/908,820 = 908,820/x
  3. Step 3: Cross multiply
    416,988x = 908,820 × 908,820
  4. Step 4: Simplify right side
    416,988x = 825,953,792,400
  5. Step 5: Solve for x
    x = 825,953,792,400/416,988
  6. Step 6: Final answer
    x = 1,980,761.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.