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Finding the Third Proportional to 70,051.50 and 102,080.25

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Solution

The third proportional to 70,051.50 and 102,080.25 is: 148,753.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,051.50 : 102,080.25 = 102,080.25 : x
  2. Step 2: Convert to fraction form
    70,051.50/102,080.25 = 102,080.25/x
  3. Step 3: Cross multiply
    70,051.50x = 102,080.25 × 102,080.25
  4. Step 4: Simplify right side
    70,051.50x = 10,420,377,440.06
  5. Step 5: Solve for x
    x = 10,420,377,440.06/70,051.50
  6. Step 6: Final answer
    x = 148,753.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.