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Finding the Third Proportional to 318,681 and 699,570

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Solution

The third proportional to 318,681 and 699,570 is: 1,535,699.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,681 : 699,570 = 699,570 : x
  2. Step 2: Convert to fraction form
    318,681/699,570 = 699,570/x
  3. Step 3: Cross multiply
    318,681x = 699,570 × 699,570
  4. Step 4: Simplify right side
    318,681x = 489,398,184,900
  5. Step 5: Solve for x
    x = 489,398,184,900/318,681
  6. Step 6: Final answer
    x = 1,535,699.29

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