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Finding the Third Proportional to 77,698 and 116,502

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Solution

The third proportional to 77,698 and 116,502 is: 174,685.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,698 : 116,502 = 116,502 : x
  2. Step 2: Convert to fraction form
    77,698/116,502 = 116,502/x
  3. Step 3: Cross multiply
    77,698x = 116,502 × 116,502
  4. Step 4: Simplify right side
    77,698x = 13,572,716,004
  5. Step 5: Solve for x
    x = 13,572,716,004/77,698
  6. Step 6: Final answer
    x = 174,685.53

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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.