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Finding the Third Proportional to 172,148 and 377,476

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Solution

The third proportional to 172,148 and 377,476 is: 827,707.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,148 : 377,476 = 377,476 : x
  2. Step 2: Convert to fraction form
    172,148/377,476 = 377,476/x
  3. Step 3: Cross multiply
    172,148x = 377,476 × 377,476
  4. Step 4: Simplify right side
    172,148x = 142,488,130,576
  5. Step 5: Solve for x
    x = 142,488,130,576/172,148
  6. Step 6: Final answer
    x = 827,707.15

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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.