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Finding the Third Proportional to 130,030 and 270,369

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Solution

The third proportional to 130,030 and 270,369 is: 562,173.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,030 : 270,369 = 270,369 : x
  2. Step 2: Convert to fraction form
    130,030/270,369 = 270,369/x
  3. Step 3: Cross multiply
    130,030x = 270,369 × 270,369
  4. Step 4: Simplify right side
    130,030x = 73,099,396,161
  5. Step 5: Solve for x
    x = 73,099,396,161/130,030
  6. Step 6: Final answer
    x = 562,173.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.