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Finding the Third Proportional to 644,902 and 946,438

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Solution

The third proportional to 644,902 and 946,438 is: 1,388,962.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,902 : 946,438 = 946,438 : x
  2. Step 2: Convert to fraction form
    644,902/946,438 = 946,438/x
  3. Step 3: Cross multiply
    644,902x = 946,438 × 946,438
  4. Step 4: Simplify right side
    644,902x = 895,744,887,844
  5. Step 5: Solve for x
    x = 895,744,887,844/644,902
  6. Step 6: Final answer
    x = 1,388,962.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.