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Finding the Third Proportional to 55,368 and 84,780

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Solution

The third proportional to 55,368 and 84,780 is: 129,815.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,368 : 84,780 = 84,780 : x
  2. Step 2: Convert to fraction form
    55,368/84,780 = 84,780/x
  3. Step 3: Cross multiply
    55,368x = 84,780 × 84,780
  4. Step 4: Simplify right side
    55,368x = 7,187,648,400
  5. Step 5: Solve for x
    x = 7,187,648,400/55,368
  6. Step 6: Final answer
    x = 129,815.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.