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Finding the Third Proportional to 149,136.75 and 230,409

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Solution

The third proportional to 149,136.75 and 230,409 is: 355,970.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,136.75 : 230,409 = 230,409 : x
  2. Step 2: Convert to fraction form
    149,136.75/230,409 = 230,409/x
  3. Step 3: Cross multiply
    149,136.75x = 230,409 × 230,409
  4. Step 4: Simplify right side
    149,136.75x = 53,088,307,281
  5. Step 5: Solve for x
    x = 53,088,307,281/149,136.75
  6. Step 6: Final answer
    x = 355,970.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.