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Finding the Third Proportional to 423,792 and 898,128

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Solution

The third proportional to 423,792 and 898,128 is: 1,903,372.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,792 : 898,128 = 898,128 : x
  2. Step 2: Convert to fraction form
    423,792/898,128 = 898,128/x
  3. Step 3: Cross multiply
    423,792x = 898,128 × 898,128
  4. Step 4: Simplify right side
    423,792x = 806,633,904,384
  5. Step 5: Solve for x
    x = 806,633,904,384/423,792
  6. Step 6: Final answer
    x = 1,903,372.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.