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Finding the Third Proportional to 54,480 and 84,706

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Solution

The third proportional to 54,480 and 84,706 is: 131,701.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,480 : 84,706 = 84,706 : x
  2. Step 2: Convert to fraction form
    54,480/84,706 = 84,706/x
  3. Step 3: Cross multiply
    54,480x = 84,706 × 84,706
  4. Step 4: Simplify right side
    54,480x = 7,175,106,436
  5. Step 5: Solve for x
    x = 7,175,106,436/54,480
  6. Step 6: Final answer
    x = 131,701.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.