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Finding the Third Proportional to 121,415 and 190,048

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Solution

The third proportional to 121,415 and 190,048 is: 297,477.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,415 : 190,048 = 190,048 : x
  2. Step 2: Convert to fraction form
    121,415/190,048 = 190,048/x
  3. Step 3: Cross multiply
    121,415x = 190,048 × 190,048
  4. Step 4: Simplify right side
    121,415x = 36,118,242,304
  5. Step 5: Solve for x
    x = 36,118,242,304/121,415
  6. Step 6: Final answer
    x = 297,477.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.