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Finding the Third Proportional to 424,137 and 897,357

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Solution

The third proportional to 424,137 and 897,357 is: 1,898,560.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,137 : 897,357 = 897,357 : x
  2. Step 2: Convert to fraction form
    424,137/897,357 = 897,357/x
  3. Step 3: Cross multiply
    424,137x = 897,357 × 897,357
  4. Step 4: Simplify right side
    424,137x = 805,249,585,449
  5. Step 5: Solve for x
    x = 805,249,585,449/424,137
  6. Step 6: Final answer
    x = 1,898,560.10

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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.