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Finding the Third Proportional to 315,134 and 459,159

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Solution

The third proportional to 315,134 and 459,159 is: 669,007.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,134 : 459,159 = 459,159 : x
  2. Step 2: Convert to fraction form
    315,134/459,159 = 459,159/x
  3. Step 3: Cross multiply
    315,134x = 459,159 × 459,159
  4. Step 4: Simplify right side
    315,134x = 210,826,987,281
  5. Step 5: Solve for x
    x = 210,826,987,281/315,134
  6. Step 6: Final answer
    x = 669,007.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.