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Finding the Third Proportional to 217,984 and 295,871

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Solution

The third proportional to 217,984 and 295,871 is: 401,587.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,984 : 295,871 = 295,871 : x
  2. Step 2: Convert to fraction form
    217,984/295,871 = 295,871/x
  3. Step 3: Cross multiply
    217,984x = 295,871 × 295,871
  4. Step 4: Simplify right side
    217,984x = 87,539,648,641
  5. Step 5: Solve for x
    x = 87,539,648,641/217,984
  6. Step 6: Final answer
    x = 401,587.50

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.