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Finding the Third Proportional to 215,628 and 308,763

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Solution

The third proportional to 215,628 and 308,763 is: 442,125.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,628 : 308,763 = 308,763 : x
  2. Step 2: Convert to fraction form
    215,628/308,763 = 308,763/x
  3. Step 3: Cross multiply
    215,628x = 308,763 × 308,763
  4. Step 4: Simplify right side
    215,628x = 95,334,590,169
  5. Step 5: Solve for x
    x = 95,334,590,169/215,628
  6. Step 6: Final answer
    x = 442,125.28

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.