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Finding the Third Proportional to 130,030 and 279,457

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Solution

The third proportional to 130,030 and 279,457 is: 600,601.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,030 : 279,457 = 279,457 : x
  2. Step 2: Convert to fraction form
    130,030/279,457 = 279,457/x
  3. Step 3: Cross multiply
    130,030x = 279,457 × 279,457
  4. Step 4: Simplify right side
    130,030x = 78,096,214,849
  5. Step 5: Solve for x
    x = 78,096,214,849/130,030
  6. Step 6: Final answer
    x = 600,601.51

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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.