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Finding the Third Proportional to 305,127 and 459,918

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Solution

The third proportional to 305,127 and 459,918 is: 693,234.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,127 : 459,918 = 459,918 : x
  2. Step 2: Convert to fraction form
    305,127/459,918 = 459,918/x
  3. Step 3: Cross multiply
    305,127x = 459,918 × 459,918
  4. Step 4: Simplify right side
    305,127x = 211,524,566,724
  5. Step 5: Solve for x
    x = 211,524,566,724/305,127
  6. Step 6: Final answer
    x = 693,234.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.