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Finding the Third Proportional to 210,062 and 322,880

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Solution

The third proportional to 210,062 and 322,880 is: 496,289.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,062 : 322,880 = 322,880 : x
  2. Step 2: Convert to fraction form
    210,062/322,880 = 322,880/x
  3. Step 3: Cross multiply
    210,062x = 322,880 × 322,880
  4. Step 4: Simplify right side
    210,062x = 104,251,494,400
  5. Step 5: Solve for x
    x = 104,251,494,400/210,062
  6. Step 6: Final answer
    x = 496,289.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.