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Finding the Third Proportional to 70,396.50 and 145,785

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Solution

The third proportional to 70,396.50 and 145,785 is: 301,908.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,396.50 : 145,785 = 145,785 : x
  2. Step 2: Convert to fraction form
    70,396.50/145,785 = 145,785/x
  3. Step 3: Cross multiply
    70,396.50x = 145,785 × 145,785
  4. Step 4: Simplify right side
    70,396.50x = 21,253,266,225
  5. Step 5: Solve for x
    x = 21,253,266,225/70,396.50
  6. Step 6: Final answer
    x = 301,908.00

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.