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Finding the Third Proportional to 279,513 and 430,145

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Solution

The third proportional to 279,513 and 430,145 is: 661,953.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,513 : 430,145 = 430,145 : x
  2. Step 2: Convert to fraction form
    279,513/430,145 = 430,145/x
  3. Step 3: Cross multiply
    279,513x = 430,145 × 430,145
  4. Step 4: Simplify right side
    279,513x = 185,024,721,025
  5. Step 5: Solve for x
    x = 185,024,721,025/279,513
  6. Step 6: Final answer
    x = 661,953.90

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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.