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Finding the Third Proportional to 208,301 and 315,369

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Solution

The third proportional to 208,301 and 315,369 is: 477,470.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,301 : 315,369 = 315,369 : x
  2. Step 2: Convert to fraction form
    208,301/315,369 = 315,369/x
  3. Step 3: Cross multiply
    208,301x = 315,369 × 315,369
  4. Step 4: Simplify right side
    208,301x = 99,457,606,161
  5. Step 5: Solve for x
    x = 99,457,606,161/208,301
  6. Step 6: Final answer
    x = 477,470.61

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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.