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Finding the Third Proportional to 96,141 and 206,502

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Solution

The third proportional to 96,141 and 206,502 is: 443,547.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,141 : 206,502 = 206,502 : x
  2. Step 2: Convert to fraction form
    96,141/206,502 = 206,502/x
  3. Step 3: Cross multiply
    96,141x = 206,502 × 206,502
  4. Step 4: Simplify right side
    96,141x = 42,643,076,004
  5. Step 5: Solve for x
    x = 42,643,076,004/96,141
  6. Step 6: Final answer
    x = 443,547.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.