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Finding the Third Proportional to 76,621 and 118,918

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Solution

The third proportional to 76,621 and 118,918 is: 184,564.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,621 : 118,918 = 118,918 : x
  2. Step 2: Convert to fraction form
    76,621/118,918 = 118,918/x
  3. Step 3: Cross multiply
    76,621x = 118,918 × 118,918
  4. Step 4: Simplify right side
    76,621x = 14,141,490,724
  5. Step 5: Solve for x
    x = 14,141,490,724/76,621
  6. Step 6: Final answer
    x = 184,564.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.