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Finding the Third Proportional to 130,219.50 and 172,911.75

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Solution

The third proportional to 130,219.50 and 172,911.75 is: 229,600.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,219.50 : 172,911.75 = 172,911.75 : x
  2. Step 2: Convert to fraction form
    130,219.50/172,911.75 = 172,911.75/x
  3. Step 3: Cross multiply
    130,219.50x = 172,911.75 × 172,911.75
  4. Step 4: Simplify right side
    130,219.50x = 29,898,473,288.06
  5. Step 5: Solve for x
    x = 29,898,473,288.06/130,219.50
  6. Step 6: Final answer
    x = 229,600.58

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.