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Finding the Third Proportional to 70,740 and 102,303

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Solution

The third proportional to 70,740 and 102,303 is: 147,948.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,740 : 102,303 = 102,303 : x
  2. Step 2: Convert to fraction form
    70,740/102,303 = 102,303/x
  3. Step 3: Cross multiply
    70,740x = 102,303 × 102,303
  4. Step 4: Simplify right side
    70,740x = 10,465,903,809
  5. Step 5: Solve for x
    x = 10,465,903,809/70,740
  6. Step 6: Final answer
    x = 147,948.88

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.