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Finding the Third Proportional to 288,762 and 444,419.50

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Solution

The third proportional to 288,762 and 444,419.50 is: 683,984.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,762 : 444,419.50 = 444,419.50 : x
  2. Step 2: Convert to fraction form
    288,762/444,419.50 = 444,419.50/x
  3. Step 3: Cross multiply
    288,762x = 444,419.50 × 444,419.50
  4. Step 4: Simplify right side
    288,762x = 197,508,691,980.25
  5. Step 5: Solve for x
    x = 197,508,691,980.25/288,762
  6. Step 6: Final answer
    x = 683,984.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.