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Finding the Third Proportional to 276,218 and 418,062

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Solution

The third proportional to 276,218 and 418,062 is: 632,746.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,218 : 418,062 = 418,062 : x
  2. Step 2: Convert to fraction form
    276,218/418,062 = 418,062/x
  3. Step 3: Cross multiply
    276,218x = 418,062 × 418,062
  4. Step 4: Simplify right side
    276,218x = 174,775,835,844
  5. Step 5: Solve for x
    x = 174,775,835,844/276,218
  6. Step 6: Final answer
    x = 632,746.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.