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Finding the Third Proportional to 212,313 and 454,991

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Solution

The third proportional to 212,313 and 454,991 is: 975,054.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,313 : 454,991 = 454,991 : x
  2. Step 2: Convert to fraction form
    212,313/454,991 = 454,991/x
  3. Step 3: Cross multiply
    212,313x = 454,991 × 454,991
  4. Step 4: Simplify right side
    212,313x = 207,016,810,081
  5. Step 5: Solve for x
    x = 207,016,810,081/212,313
  6. Step 6: Final answer
    x = 975,054.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.