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Finding the Third Proportional to 125,929 and 190,105.50

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Solution

The third proportional to 125,929 and 190,105.50 is: 286,987.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,929 : 190,105.50 = 190,105.50 : x
  2. Step 2: Convert to fraction form
    125,929/190,105.50 = 190,105.50/x
  3. Step 3: Cross multiply
    125,929x = 190,105.50 × 190,105.50
  4. Step 4: Simplify right side
    125,929x = 36,140,101,130.25
  5. Step 5: Solve for x
    x = 36,140,101,130.25/125,929
  6. Step 6: Final answer
    x = 286,987.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.