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Finding the Third Proportional to 121,840.50 and 178,008

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Solution

The third proportional to 121,840.50 and 178,008 is: 260,068.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,840.50 : 178,008 = 178,008 : x
  2. Step 2: Convert to fraction form
    121,840.50/178,008 = 178,008/x
  3. Step 3: Cross multiply
    121,840.50x = 178,008 × 178,008
  4. Step 4: Simplify right side
    121,840.50x = 31,686,848,064
  5. Step 5: Solve for x
    x = 31,686,848,064/121,840.50
  6. Step 6: Final answer
    x = 260,068.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.