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Finding the Third Proportional to 52,420 and 78,918

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Solution

The third proportional to 52,420 and 78,918 is: 118,810.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,420 : 78,918 = 78,918 : x
  2. Step 2: Convert to fraction form
    52,420/78,918 = 78,918/x
  3. Step 3: Cross multiply
    52,420x = 78,918 × 78,918
  4. Step 4: Simplify right side
    52,420x = 6,228,050,724
  5. Step 5: Solve for x
    x = 6,228,050,724/52,420
  6. Step 6: Final answer
    x = 118,810.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.