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Finding the Third Proportional to 414,287 and 907,620

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Solution

The third proportional to 414,287 and 907,620 is: 1,988,413.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,287 : 907,620 = 907,620 : x
  2. Step 2: Convert to fraction form
    414,287/907,620 = 907,620/x
  3. Step 3: Cross multiply
    414,287x = 907,620 × 907,620
  4. Step 4: Simplify right side
    414,287x = 823,774,064,400
  5. Step 5: Solve for x
    x = 823,774,064,400/414,287
  6. Step 6: Final answer
    x = 1,988,413.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.