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Finding the Third Proportional to 643,306 and 946,246

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Solution

The third proportional to 643,306 and 946,246 is: 1,391,843.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,306 : 946,246 = 946,246 : x
  2. Step 2: Convert to fraction form
    643,306/946,246 = 946,246/x
  3. Step 3: Cross multiply
    643,306x = 946,246 × 946,246
  4. Step 4: Simplify right side
    643,306x = 895,381,492,516
  5. Step 5: Solve for x
    x = 895,381,492,516/643,306
  6. Step 6: Final answer
    x = 1,391,843.84

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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.