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Finding the Third Proportional to 121,854 and 282,071

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Solution

The third proportional to 121,854 and 282,071 is: 652,945.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,854 : 282,071 = 282,071 : x
  2. Step 2: Convert to fraction form
    121,854/282,071 = 282,071/x
  3. Step 3: Cross multiply
    121,854x = 282,071 × 282,071
  4. Step 4: Simplify right side
    121,854x = 79,564,049,041
  5. Step 5: Solve for x
    x = 79,564,049,041/121,854
  6. Step 6: Final answer
    x = 652,945.73

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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.