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Finding the Third Proportional to 424,135 and 921,898

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Solution

The third proportional to 424,135 and 921,898 is: 2,003,833.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,135 : 921,898 = 921,898 : x
  2. Step 2: Convert to fraction form
    424,135/921,898 = 921,898/x
  3. Step 3: Cross multiply
    424,135x = 921,898 × 921,898
  4. Step 4: Simplify right side
    424,135x = 849,895,922,404
  5. Step 5: Solve for x
    x = 849,895,922,404/424,135
  6. Step 6: Final answer
    x = 2,003,833.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.