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Finding the Third Proportional to 390,193.88 and 854,950.50

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Solution

The third proportional to 390,193.88 and 854,950.50 is: 1,873,274.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,193.88 : 854,950.50 = 854,950.50 : x
  2. Step 2: Convert to fraction form
    390,193.88/854,950.50 = 854,950.50/x
  3. Step 3: Cross multiply
    390,193.88x = 854,950.50 × 854,950.50
  4. Step 4: Simplify right side
    390,193.88x = 730,940,357,450.25
  5. Step 5: Solve for x
    x = 730,940,357,450.25/390,193.88
  6. Step 6: Final answer
    x = 1,873,274.81

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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.