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Finding the Third Proportional to 121,842 and 282,047

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Solution

The third proportional to 121,842 and 282,047 is: 652,898.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,842 : 282,047 = 282,047 : x
  2. Step 2: Convert to fraction form
    121,842/282,047 = 282,047/x
  3. Step 3: Cross multiply
    121,842x = 282,047 × 282,047
  4. Step 4: Simplify right side
    121,842x = 79,550,510,209
  5. Step 5: Solve for x
    x = 79,550,510,209/121,842
  6. Step 6: Final answer
    x = 652,898.92

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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.