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Finding the Third Proportional to 175,321 and 378,658

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Solution

The third proportional to 175,321 and 378,658 is: 817,824.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,321 : 378,658 = 378,658 : x
  2. Step 2: Convert to fraction form
    175,321/378,658 = 378,658/x
  3. Step 3: Cross multiply
    175,321x = 378,658 × 378,658
  4. Step 4: Simplify right side
    175,321x = 143,381,880,964
  5. Step 5: Solve for x
    x = 143,381,880,964/175,321
  6. Step 6: Final answer
    x = 817,824.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.