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Finding the Third Proportional to 121,852 and 282,066

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Solution

The third proportional to 121,852 and 282,066 is: 652,933.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,852 : 282,066 = 282,066 : x
  2. Step 2: Convert to fraction form
    121,852/282,066 = 282,066/x
  3. Step 3: Cross multiply
    121,852x = 282,066 × 282,066
  4. Step 4: Simplify right side
    121,852x = 79,561,228,356
  5. Step 5: Solve for x
    x = 79,561,228,356/121,852
  6. Step 6: Final answer
    x = 652,933.30

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.