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Finding the Third Proportional to 64,890 and 143,871

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Solution

The third proportional to 64,890 and 143,871 is: 318,983.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,890 : 143,871 = 143,871 : x
  2. Step 2: Convert to fraction form
    64,890/143,871 = 143,871/x
  3. Step 3: Cross multiply
    64,890x = 143,871 × 143,871
  4. Step 4: Simplify right side
    64,890x = 20,698,864,641
  5. Step 5: Solve for x
    x = 20,698,864,641/64,890
  6. Step 6: Final answer
    x = 318,983.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.