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Finding the Third Proportional to 130,073 and 279,550

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Solution

The third proportional to 130,073 and 279,550 is: 600,802.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,073 : 279,550 = 279,550 : x
  2. Step 2: Convert to fraction form
    130,073/279,550 = 279,550/x
  3. Step 3: Cross multiply
    130,073x = 279,550 × 279,550
  4. Step 4: Simplify right side
    130,073x = 78,148,202,500
  5. Step 5: Solve for x
    x = 78,148,202,500/130,073
  6. Step 6: Final answer
    x = 600,802.65

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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.