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Finding the Third Proportional to 210,812 and 308,328

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Solution

The third proportional to 210,812 and 308,328 is: 450,952.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,812 : 308,328 = 308,328 : x
  2. Step 2: Convert to fraction form
    210,812/308,328 = 308,328/x
  3. Step 3: Cross multiply
    210,812x = 308,328 × 308,328
  4. Step 4: Simplify right side
    210,812x = 95,066,155,584
  5. Step 5: Solve for x
    x = 95,066,155,584/210,812
  6. Step 6: Final answer
    x = 450,952.30

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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.