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Finding the Third Proportional to 172,145.25 and 372,875.63

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Solution

The third proportional to 172,145.25 and 372,875.63 is: 807,668.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,145.25 : 372,875.63 = 372,875.63 : x
  2. Step 2: Convert to fraction form
    172,145.25/372,875.63 = 372,875.63/x
  3. Step 3: Cross multiply
    172,145.25x = 372,875.63 × 372,875.63
  4. Step 4: Simplify right side
    172,145.25x = 139,036,231,719.14
  5. Step 5: Solve for x
    x = 139,036,231,719.14/172,145.25
  6. Step 6: Final answer
    x = 807,668.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.