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Finding the Third Proportional to 178,319 and 371,583

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Solution

The third proportional to 178,319 and 371,583 is: 774,308.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,319 : 371,583 = 371,583 : x
  2. Step 2: Convert to fraction form
    178,319/371,583 = 371,583/x
  3. Step 3: Cross multiply
    178,319x = 371,583 × 371,583
  4. Step 4: Simplify right side
    178,319x = 138,073,925,889
  5. Step 5: Solve for x
    x = 138,073,925,889/178,319
  6. Step 6: Final answer
    x = 774,308.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.