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Finding the Third Proportional to 77,880 and 170,502

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Solution

The third proportional to 77,880 and 170,502 is: 373,278.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,880 : 170,502 = 170,502 : x
  2. Step 2: Convert to fraction form
    77,880/170,502 = 170,502/x
  3. Step 3: Cross multiply
    77,880x = 170,502 × 170,502
  4. Step 4: Simplify right side
    77,880x = 29,070,932,004
  5. Step 5: Solve for x
    x = 29,070,932,004/77,880
  6. Step 6: Final answer
    x = 373,278.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.