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Finding the Third Proportional to 70,136.63 and 149,434.88

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Solution

The third proportional to 70,136.63 and 149,434.88 is: 318,389.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,136.63 : 149,434.88 = 149,434.88 : x
  2. Step 2: Convert to fraction form
    70,136.63/149,434.88 = 149,434.88/x
  3. Step 3: Cross multiply
    70,136.63x = 149,434.88 × 149,434.88
  4. Step 4: Simplify right side
    70,136.63x = 22,330,781,866.27
  5. Step 5: Solve for x
    x = 22,330,781,866.27/70,136.63
  6. Step 6: Final answer
    x = 318,389.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.