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Finding the Third Proportional to 623,689 and 868,956

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Solution

The third proportional to 623,689 and 868,956 is: 1,210,674.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,689 : 868,956 = 868,956 : x
  2. Step 2: Convert to fraction form
    623,689/868,956 = 868,956/x
  3. Step 3: Cross multiply
    623,689x = 868,956 × 868,956
  4. Step 4: Simplify right side
    623,689x = 755,084,529,936
  5. Step 5: Solve for x
    x = 755,084,529,936/623,689
  6. Step 6: Final answer
    x = 1,210,674.76

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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.