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Finding the Third Proportional to 98,512 and 210,128

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Solution

The third proportional to 98,512 and 210,128 is: 448,207.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,512 : 210,128 = 210,128 : x
  2. Step 2: Convert to fraction form
    98,512/210,128 = 210,128/x
  3. Step 3: Cross multiply
    98,512x = 210,128 × 210,128
  4. Step 4: Simplify right side
    98,512x = 44,153,776,384
  5. Step 5: Solve for x
    x = 44,153,776,384/98,512
  6. Step 6: Final answer
    x = 448,207.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.