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Finding the Third Proportional to 171,490 and 376,920

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Solution

The third proportional to 171,490 and 376,920 is: 828,437.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,490 : 376,920 = 376,920 : x
  2. Step 2: Convert to fraction form
    171,490/376,920 = 376,920/x
  3. Step 3: Cross multiply
    171,490x = 376,920 × 376,920
  4. Step 4: Simplify right side
    171,490x = 142,068,686,400
  5. Step 5: Solve for x
    x = 142,068,686,400/171,490
  6. Step 6: Final answer
    x = 828,437.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.