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Finding the Third Proportional to 73,136.25 and 109,201.50

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Solution

The third proportional to 73,136.25 and 109,201.50 is: 163,051.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,136.25 : 109,201.50 = 109,201.50 : x
  2. Step 2: Convert to fraction form
    73,136.25/109,201.50 = 109,201.50/x
  3. Step 3: Cross multiply
    73,136.25x = 109,201.50 × 109,201.50
  4. Step 4: Simplify right side
    73,136.25x = 11,924,967,602.25
  5. Step 5: Solve for x
    x = 11,924,967,602.25/73,136.25
  6. Step 6: Final answer
    x = 163,051.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.