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Finding the Third Proportional to 489,343 and 737,022

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Solution

The third proportional to 489,343 and 737,022 is: 1,110,062.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,343 : 737,022 = 737,022 : x
  2. Step 2: Convert to fraction form
    489,343/737,022 = 737,022/x
  3. Step 3: Cross multiply
    489,343x = 737,022 × 737,022
  4. Step 4: Simplify right side
    489,343x = 543,201,428,484
  5. Step 5: Solve for x
    x = 543,201,428,484/489,343
  6. Step 6: Final answer
    x = 1,110,062.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.