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Finding the Third Proportional to 210,128 and 322,966

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Solution

The third proportional to 210,128 and 322,966 is: 496,397.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,128 : 322,966 = 322,966 : x
  2. Step 2: Convert to fraction form
    210,128/322,966 = 322,966/x
  3. Step 3: Cross multiply
    210,128x = 322,966 × 322,966
  4. Step 4: Simplify right side
    210,128x = 104,307,037,156
  5. Step 5: Solve for x
    x = 104,307,037,156/210,128
  6. Step 6: Final answer
    x = 496,397.61

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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.