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Finding the Third Proportional to 77,762 and 116,621

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Solution

The third proportional to 77,762 and 116,621 is: 174,898.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,762 : 116,621 = 116,621 : x
  2. Step 2: Convert to fraction form
    77,762/116,621 = 116,621/x
  3. Step 3: Cross multiply
    77,762x = 116,621 × 116,621
  4. Step 4: Simplify right side
    77,762x = 13,600,457,641
  5. Step 5: Solve for x
    x = 13,600,457,641/77,762
  6. Step 6: Final answer
    x = 174,898.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.