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Finding the Third Proportional to 143,913 and 305,364

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Solution

The third proportional to 143,913 and 305,364 is: 647,941.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,913 : 305,364 = 305,364 : x
  2. Step 2: Convert to fraction form
    143,913/305,364 = 305,364/x
  3. Step 3: Cross multiply
    143,913x = 305,364 × 305,364
  4. Step 4: Simplify right side
    143,913x = 93,247,172,496
  5. Step 5: Solve for x
    x = 93,247,172,496/143,913
  6. Step 6: Final answer
    x = 647,941.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.