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Finding the Third Proportional to 212,958 and 465,660

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Solution

The third proportional to 212,958 and 465,660 is: 1,018,225.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,958 : 465,660 = 465,660 : x
  2. Step 2: Convert to fraction form
    212,958/465,660 = 465,660/x
  3. Step 3: Cross multiply
    212,958x = 465,660 × 465,660
  4. Step 4: Simplify right side
    212,958x = 216,839,235,600
  5. Step 5: Solve for x
    x = 216,839,235,600/212,958
  6. Step 6: Final answer
    x = 1,018,225.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.