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Finding the Third Proportional to 85,556 and 137,840

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Solution

The third proportional to 85,556 and 137,840 is: 222,075.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,556 : 137,840 = 137,840 : x
  2. Step 2: Convert to fraction form
    85,556/137,840 = 137,840/x
  3. Step 3: Cross multiply
    85,556x = 137,840 × 137,840
  4. Step 4: Simplify right side
    85,556x = 18,999,865,600
  5. Step 5: Solve for x
    x = 18,999,865,600/85,556
  6. Step 6: Final answer
    x = 222,075.20

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.