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Finding the Third Proportional to 55,419.19 and 81,184.78

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Solution

The third proportional to 55,419.19 and 81,184.78 is: 118,929.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,419.19 : 81,184.78 = 81,184.78 : x
  2. Step 2: Convert to fraction form
    55,419.19/81,184.78 = 81,184.78/x
  3. Step 3: Cross multiply
    55,419.19x = 81,184.78 × 81,184.78
  4. Step 4: Simplify right side
    55,419.19x = 6,590,968,706.61
  5. Step 5: Solve for x
    x = 6,590,968,706.61/55,419.19
  6. Step 6: Final answer
    x = 118,929.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.