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Finding the Third Proportional to 55,423 and 121,619

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Solution

The third proportional to 55,423 and 121,619 is: 266,878.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,423 : 121,619 = 121,619 : x
  2. Step 2: Convert to fraction form
    55,423/121,619 = 121,619/x
  3. Step 3: Cross multiply
    55,423x = 121,619 × 121,619
  4. Step 4: Simplify right side
    55,423x = 14,791,181,161
  5. Step 5: Solve for x
    x = 14,791,181,161/55,423
  6. Step 6: Final answer
    x = 266,878.03

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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.