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Finding the Third Proportional to 690,234 and 1,413,930

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Solution

The third proportional to 690,234 and 1,413,930 is: 2,896,406.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,234 : 1,413,930 = 1,413,930 : x
  2. Step 2: Convert to fraction form
    690,234/1,413,930 = 1,413,930/x
  3. Step 3: Cross multiply
    690,234x = 1,413,930 × 1,413,930
  4. Step 4: Simplify right side
    690,234x = 1,999,198,044,900
  5. Step 5: Solve for x
    x = 1,999,198,044,900/690,234
  6. Step 6: Final answer
    x = 2,896,406.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.