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Finding the Third Proportional to 121,450 and 247,730

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Solution

The third proportional to 121,450 and 247,730 is: 505,312.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,450 : 247,730 = 247,730 : x
  2. Step 2: Convert to fraction form
    121,450/247,730 = 247,730/x
  3. Step 3: Cross multiply
    121,450x = 247,730 × 247,730
  4. Step 4: Simplify right side
    121,450x = 61,370,152,900
  5. Step 5: Solve for x
    x = 61,370,152,900/121,450
  6. Step 6: Final answer
    x = 505,312.09

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.