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Finding the Third Proportional to 55,485 and 78,510

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Solution

The third proportional to 55,485 and 78,510 is: 111,089.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,485 : 78,510 = 78,510 : x
  2. Step 2: Convert to fraction form
    55,485/78,510 = 78,510/x
  3. Step 3: Cross multiply
    55,485x = 78,510 × 78,510
  4. Step 4: Simplify right side
    55,485x = 6,163,820,100
  5. Step 5: Solve for x
    x = 6,163,820,100/55,485
  6. Step 6: Final answer
    x = 111,089.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.