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Finding the Third Proportional to 55,459.69 and 121,415.06

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Solution

The third proportional to 55,459.69 and 121,415.06 is: 265,807.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,459.69 : 121,415.06 = 121,415.06 : x
  2. Step 2: Convert to fraction form
    55,459.69/121,415.06 = 121,415.06/x
  3. Step 3: Cross multiply
    55,459.69x = 121,415.06 × 121,415.06
  4. Step 4: Simplify right side
    55,459.69x = 14,741,617,401.88
  5. Step 5: Solve for x
    x = 14,741,617,401.88/55,459.69
  6. Step 6: Final answer
    x = 265,807.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.