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Finding the Third Proportional to 172,131 and 247,918.50

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Solution

The third proportional to 172,131 and 247,918.50 is: 357,074.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,131 : 247,918.50 = 247,918.50 : x
  2. Step 2: Convert to fraction form
    172,131/247,918.50 = 247,918.50/x
  3. Step 3: Cross multiply
    172,131x = 247,918.50 × 247,918.50
  4. Step 4: Simplify right side
    172,131x = 61,463,582,642.25
  5. Step 5: Solve for x
    x = 61,463,582,642.25/172,131
  6. Step 6: Final answer
    x = 357,074.45

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.