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Finding the Third Proportional to 55,560 and 84,706

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Solution

The third proportional to 55,560 and 84,706 is: 129,141.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,560 : 84,706 = 84,706 : x
  2. Step 2: Convert to fraction form
    55,560/84,706 = 84,706/x
  3. Step 3: Cross multiply
    55,560x = 84,706 × 84,706
  4. Step 4: Simplify right side
    55,560x = 7,175,106,436
  5. Step 5: Solve for x
    x = 7,175,106,436/55,560
  6. Step 6: Final answer
    x = 129,141.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.