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Finding the Third Proportional to 492,722 and 686,486

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Solution

The third proportional to 492,722 and 686,486 is: 956,448.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,722 : 686,486 = 686,486 : x
  2. Step 2: Convert to fraction form
    492,722/686,486 = 686,486/x
  3. Step 3: Cross multiply
    492,722x = 686,486 × 686,486
  4. Step 4: Simplify right side
    492,722x = 471,263,028,196
  5. Step 5: Solve for x
    x = 471,263,028,196/492,722
  6. Step 6: Final answer
    x = 956,448.12

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