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Finding the Third Proportional to 492,751 and 686,526

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Solution

The third proportional to 492,751 and 686,526 is: 956,503.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,751 : 686,526 = 686,526 : x
  2. Step 2: Convert to fraction form
    492,751/686,526 = 686,526/x
  3. Step 3: Cross multiply
    492,751x = 686,526 × 686,526
  4. Step 4: Simplify right side
    492,751x = 471,317,948,676
  5. Step 5: Solve for x
    x = 471,317,948,676/492,751
  6. Step 6: Final answer
    x = 956,503.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.