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Finding the Third Proportional to 123,255 and 190,316.25

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Solution

The third proportional to 123,255 and 190,316.25 is: 293,864.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,255 : 190,316.25 = 190,316.25 : x
  2. Step 2: Convert to fraction form
    123,255/190,316.25 = 190,316.25/x
  3. Step 3: Cross multiply
    123,255x = 190,316.25 × 190,316.25
  4. Step 4: Simplify right side
    123,255x = 36,220,275,014.06
  5. Step 5: Solve for x
    x = 36,220,275,014.06/123,255
  6. Step 6: Final answer
    x = 293,864.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.