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Finding the Third Proportional to 171,378 and 371,359

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Solution

The third proportional to 171,378 and 371,359 is: 804,697.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,378 : 371,359 = 371,359 : x
  2. Step 2: Convert to fraction form
    171,378/371,359 = 371,359/x
  3. Step 3: Cross multiply
    171,378x = 371,359 × 371,359
  4. Step 4: Simplify right side
    171,378x = 137,907,506,881
  5. Step 5: Solve for x
    x = 137,907,506,881/171,378
  6. Step 6: Final answer
    x = 804,697.84

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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.