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Finding the Third Proportional to 121,415 and 247,648

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Solution

The third proportional to 121,415 and 247,648 is: 505,123.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,415 : 247,648 = 247,648 : x
  2. Step 2: Convert to fraction form
    121,415/247,648 = 247,648/x
  3. Step 3: Cross multiply
    121,415x = 247,648 × 247,648
  4. Step 4: Simplify right side
    121,415x = 61,329,531,904
  5. Step 5: Solve for x
    x = 61,329,531,904/121,415
  6. Step 6: Final answer
    x = 505,123.19

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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.