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Finding the Third Proportional to 426,579.88 and 644,406.38

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Solution

The third proportional to 426,579.88 and 644,406.38 is: 973,462.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,579.88 : 644,406.38 = 644,406.38 : x
  2. Step 2: Convert to fraction form
    426,579.88/644,406.38 = 644,406.38/x
  3. Step 3: Cross multiply
    426,579.88x = 644,406.38 × 644,406.38
  4. Step 4: Simplify right side
    426,579.88x = 415,259,576,140.64
  5. Step 5: Solve for x
    x = 415,259,576,140.64/426,579.88
  6. Step 6: Final answer
    x = 973,462.65

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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.