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Finding the Third Proportional to 279,515 and 430,148

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Solution

The third proportional to 279,515 and 430,148 is: 661,958.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,515 : 430,148 = 430,148 : x
  2. Step 2: Convert to fraction form
    279,515/430,148 = 430,148/x
  3. Step 3: Cross multiply
    279,515x = 430,148 × 430,148
  4. Step 4: Simplify right side
    279,515x = 185,027,301,904
  5. Step 5: Solve for x
    x = 185,027,301,904/279,515
  6. Step 6: Final answer
    x = 661,958.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.