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Finding the Third Proportional to 130,029 and 279,455.25

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Solution

The third proportional to 130,029 and 279,455.25 is: 600,598.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,029 : 279,455.25 = 279,455.25 : x
  2. Step 2: Convert to fraction form
    130,029/279,455.25 = 279,455.25/x
  3. Step 3: Cross multiply
    130,029x = 279,455.25 × 279,455.25
  4. Step 4: Simplify right side
    130,029x = 78,095,236,752.56
  5. Step 5: Solve for x
    x = 78,095,236,752.56/130,029
  6. Step 6: Final answer
    x = 600,598.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.