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Finding the Third Proportional to 213,848 and 461,590

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Solution

The third proportional to 213,848 and 461,590 is: 996,340.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,848 : 461,590 = 461,590 : x
  2. Step 2: Convert to fraction form
    213,848/461,590 = 461,590/x
  3. Step 3: Cross multiply
    213,848x = 461,590 × 461,590
  4. Step 4: Simplify right side
    213,848x = 213,065,328,100
  5. Step 5: Solve for x
    x = 213,065,328,100/213,848
  6. Step 6: Final answer
    x = 996,340.06

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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.