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Finding the Third Proportional to 639,343 and 1,065,421.50

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Solution

The third proportional to 639,343 and 1,065,421.50 is: 1,775,452.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,343 : 1,065,421.50 = 1,065,421.50 : x
  2. Step 2: Convert to fraction form
    639,343/1,065,421.50 = 1,065,421.50/x
  3. Step 3: Cross multiply
    639,343x = 1,065,421.50 × 1,065,421.50
  4. Step 4: Simplify right side
    639,343x = 1,135,122,972,662.25
  5. Step 5: Solve for x
    x = 1,135,122,972,662.25/639,343
  6. Step 6: Final answer
    x = 1,775,452.26

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.