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Finding the Third Proportional to 121,918.50 and 174,008.25

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Solution

The third proportional to 121,918.50 and 174,008.25 is: 248,353.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,918.50 : 174,008.25 = 174,008.25 : x
  2. Step 2: Convert to fraction form
    121,918.50/174,008.25 = 174,008.25/x
  3. Step 3: Cross multiply
    121,918.50x = 174,008.25 × 174,008.25
  4. Step 4: Simplify right side
    121,918.50x = 30,278,871,068.06
  5. Step 5: Solve for x
    x = 30,278,871,068.06/121,918.50
  6. Step 6: Final answer
    x = 248,353.38

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.