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Finding the Third Proportional to 492,762 and 686,543

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Solution

The third proportional to 492,762 and 686,543 is: 956,529.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,762 : 686,543 = 686,543 : x
  2. Step 2: Convert to fraction form
    492,762/686,543 = 686,543/x
  3. Step 3: Cross multiply
    492,762x = 686,543 × 686,543
  4. Step 4: Simplify right side
    492,762x = 471,341,290,849
  5. Step 5: Solve for x
    x = 471,341,290,849/492,762
  6. Step 6: Final answer
    x = 956,529.30

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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.