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Finding the Third Proportional to 427,148.63 and 939,563.25

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Solution

The third proportional to 427,148.63 and 939,563.25 is: 2,066,679.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,148.63 : 939,563.25 = 939,563.25 : x
  2. Step 2: Convert to fraction form
    427,148.63/939,563.25 = 939,563.25/x
  3. Step 3: Cross multiply
    427,148.63x = 939,563.25 × 939,563.25
  4. Step 4: Simplify right side
    427,148.63x = 882,779,100,750.56
  5. Step 5: Solve for x
    x = 882,779,100,750.56/427,148.63
  6. Step 6: Final answer
    x = 2,066,679.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.