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Finding the Third Proportional to 116,172.98 and 172,100.95

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Solution

The third proportional to 116,172.98 and 172,100.95 is: 254,953.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,172.98 : 172,100.95 = 172,100.95 : x
  2. Step 2: Convert to fraction form
    116,172.98/172,100.95 = 172,100.95/x
  3. Step 3: Cross multiply
    116,172.98x = 172,100.95 × 172,100.95
  4. Step 4: Simplify right side
    116,172.98x = 29,618,738,066.53
  5. Step 5: Solve for x
    x = 29,618,738,066.53/116,172.98
  6. Step 6: Final answer
    x = 254,953.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.