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Finding the Third Proportional to 97,136.76 and 138,439.34

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Solution

The third proportional to 97,136.76 and 138,439.34 is: 197,303.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,136.76 : 138,439.34 = 138,439.34 : x
  2. Step 2: Convert to fraction form
    97,136.76/138,439.34 = 138,439.34/x
  3. Step 3: Cross multiply
    97,136.76x = 138,439.34 × 138,439.34
  4. Step 4: Simplify right side
    97,136.76x = 19,165,451,559.94
  5. Step 5: Solve for x
    x = 19,165,451,559.94/97,136.76
  6. Step 6: Final answer
    x = 197,303.80

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.