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Finding the Third Proportional to 210,772 and 308,262

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Solution

The third proportional to 210,772 and 308,262 is: 450,844.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,772 : 308,262 = 308,262 : x
  2. Step 2: Convert to fraction form
    210,772/308,262 = 308,262/x
  3. Step 3: Cross multiply
    210,772x = 308,262 × 308,262
  4. Step 4: Simplify right side
    210,772x = 95,025,460,644
  5. Step 5: Solve for x
    x = 95,025,460,644/210,772
  6. Step 6: Final answer
    x = 450,844.80

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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.