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Finding the Third Proportional to 121,851 and 282,063

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Solution

The third proportional to 121,851 and 282,063 is: 652,924.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,851 : 282,063 = 282,063 : x
  2. Step 2: Convert to fraction form
    121,851/282,063 = 282,063/x
  3. Step 3: Cross multiply
    121,851x = 282,063 × 282,063
  4. Step 4: Simplify right side
    121,851x = 79,559,535,969
  5. Step 5: Solve for x
    x = 79,559,535,969/121,851
  6. Step 6: Final answer
    x = 652,924.77

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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.