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Finding the Third Proportional to 70,325.72 and 149,877.84

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Solution

The third proportional to 70,325.72 and 149,877.84 is: 319,418.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,325.72 : 149,877.84 = 149,877.84 : x
  2. Step 2: Convert to fraction form
    70,325.72/149,877.84 = 149,877.84/x
  3. Step 3: Cross multiply
    70,325.72x = 149,877.84 × 149,877.84
  4. Step 4: Simplify right side
    70,325.72x = 22,463,368,047.15
  5. Step 5: Solve for x
    x = 22,463,368,047.15/70,325.72
  6. Step 6: Final answer
    x = 319,418.96

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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.