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Finding the Third Proportional to 230,466 and 345,705

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Solution

The third proportional to 230,466 and 345,705 is: 518,566.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,466 : 345,705 = 345,705 : x
  2. Step 2: Convert to fraction form
    230,466/345,705 = 345,705/x
  3. Step 3: Cross multiply
    230,466x = 345,705 × 345,705
  4. Step 4: Simplify right side
    230,466x = 119,511,947,025
  5. Step 5: Solve for x
    x = 119,511,947,025/230,466
  6. Step 6: Final answer
    x = 518,566.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.