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Finding the Third Proportional to 643,294 and 946,231

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Solution

The third proportional to 643,294 and 946,231 is: 1,391,825.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,294 : 946,231 = 946,231 : x
  2. Step 2: Convert to fraction form
    643,294/946,231 = 946,231/x
  3. Step 3: Cross multiply
    643,294x = 946,231 × 946,231
  4. Step 4: Simplify right side
    643,294x = 895,353,105,361
  5. Step 5: Solve for x
    x = 895,353,105,361/643,294
  6. Step 6: Final answer
    x = 1,391,825.67

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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.