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Finding the Third Proportional to 51,420 and 78,216

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Solution

The third proportional to 51,420 and 78,216 is: 118,975.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,420 : 78,216 = 78,216 : x
  2. Step 2: Convert to fraction form
    51,420/78,216 = 78,216/x
  3. Step 3: Cross multiply
    51,420x = 78,216 × 78,216
  4. Step 4: Simplify right side
    51,420x = 6,117,742,656
  5. Step 5: Solve for x
    x = 6,117,742,656/51,420
  6. Step 6: Final answer
    x = 118,975.94

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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.