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Finding the Third Proportional to 68,173.50 and 139,652.25

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Solution

The third proportional to 68,173.50 and 139,652.25 is: 286,075.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,173.50 : 139,652.25 = 139,652.25 : x
  2. Step 2: Convert to fraction form
    68,173.50/139,652.25 = 139,652.25/x
  3. Step 3: Cross multiply
    68,173.50x = 139,652.25 × 139,652.25
  4. Step 4: Simplify right side
    68,173.50x = 19,502,750,930.06
  5. Step 5: Solve for x
    x = 19,502,750,930.06/68,173.50
  6. Step 6: Final answer
    x = 286,075.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.