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Finding the Third Proportional to 457,792 and 986,240

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Solution

The third proportional to 457,792 and 986,240 is: 2,124,697.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,792 : 986,240 = 986,240 : x
  2. Step 2: Convert to fraction form
    457,792/986,240 = 986,240/x
  3. Step 3: Cross multiply
    457,792x = 986,240 × 986,240
  4. Step 4: Simplify right side
    457,792x = 972,669,337,600
  5. Step 5: Solve for x
    x = 972,669,337,600/457,792
  6. Step 6: Final answer
    x = 2,124,697.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.