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Finding the Third Proportional to 126,312 and 190,777.50

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Solution

The third proportional to 126,312 and 190,777.50 is: 288,144.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,312 : 190,777.50 = 190,777.50 : x
  2. Step 2: Convert to fraction form
    126,312/190,777.50 = 190,777.50/x
  3. Step 3: Cross multiply
    126,312x = 190,777.50 × 190,777.50
  4. Step 4: Simplify right side
    126,312x = 36,396,054,506.25
  5. Step 5: Solve for x
    x = 36,396,054,506.25/126,312
  6. Step 6: Final answer
    x = 288,144.08

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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.