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Finding the Third Proportional to 318,683 and 699,574

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Solution

The third proportional to 318,683 and 699,574 is: 1,535,707.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,683 : 699,574 = 699,574 : x
  2. Step 2: Convert to fraction form
    318,683/699,574 = 699,574/x
  3. Step 3: Cross multiply
    318,683x = 699,574 × 699,574
  4. Step 4: Simplify right side
    318,683x = 489,403,781,476
  5. Step 5: Solve for x
    x = 489,403,781,476/318,683
  6. Step 6: Final answer
    x = 1,535,707.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.