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Finding the Third Proportional to 644,409 and 946,882

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Solution

The third proportional to 644,409 and 946,882 is: 1,391,329.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,409 : 946,882 = 946,882 : x
  2. Step 2: Convert to fraction form
    644,409/946,882 = 946,882/x
  3. Step 3: Cross multiply
    644,409x = 946,882 × 946,882
  4. Step 4: Simplify right side
    644,409x = 896,585,521,924
  5. Step 5: Solve for x
    x = 896,585,521,924/644,409
  6. Step 6: Final answer
    x = 1,391,329.92

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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.