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Finding the Third Proportional to 218,130 and 461,410

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Solution

The third proportional to 218,130 and 461,410 is: 976,019.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,130 : 461,410 = 461,410 : x
  2. Step 2: Convert to fraction form
    218,130/461,410 = 461,410/x
  3. Step 3: Cross multiply
    218,130x = 461,410 × 461,410
  4. Step 4: Simplify right side
    218,130x = 212,899,188,100
  5. Step 5: Solve for x
    x = 212,899,188,100/218,130
  6. Step 6: Final answer
    x = 976,019.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.