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Finding the Third Proportional to 52,546 and 78,871

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Solution

The third proportional to 52,546 and 78,871 is: 118,384.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,546 : 78,871 = 78,871 : x
  2. Step 2: Convert to fraction form
    52,546/78,871 = 78,871/x
  3. Step 3: Cross multiply
    52,546x = 78,871 × 78,871
  4. Step 4: Simplify right side
    52,546x = 6,220,634,641
  5. Step 5: Solve for x
    x = 6,220,634,641/52,546
  6. Step 6: Final answer
    x = 118,384.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.