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Finding the Third Proportional to 55,484 and 78,509

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Solution

The third proportional to 55,484 and 78,509 is: 111,089.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,484 : 78,509 = 78,509 : x
  2. Step 2: Convert to fraction form
    55,484/78,509 = 78,509/x
  3. Step 3: Cross multiply
    55,484x = 78,509 × 78,509
  4. Step 4: Simplify right side
    55,484x = 6,163,663,081
  5. Step 5: Solve for x
    x = 6,163,663,081/55,484
  6. Step 6: Final answer
    x = 111,089.02

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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.