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Finding the Third Proportional to 426,447 and 919,318.50

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Solution

The third proportional to 426,447 and 919,318.50 is: 1,981,832.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,447 : 919,318.50 = 919,318.50 : x
  2. Step 2: Convert to fraction form
    426,447/919,318.50 = 919,318.50/x
  3. Step 3: Cross multiply
    426,447x = 919,318.50 × 919,318.50
  4. Step 4: Simplify right side
    426,447x = 845,146,504,442.25
  5. Step 5: Solve for x
    x = 845,146,504,442.25/426,447
  6. Step 6: Final answer
    x = 1,981,832.45

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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.