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Finding the Third Proportional to 639,259 and 1,378,148

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Solution

The third proportional to 639,259 and 1,378,148 is: 2,971,083.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,259 : 1,378,148 = 1,378,148 : x
  2. Step 2: Convert to fraction form
    639,259/1,378,148 = 1,378,148/x
  3. Step 3: Cross multiply
    639,259x = 1,378,148 × 1,378,148
  4. Step 4: Simplify right side
    639,259x = 1,899,291,909,904
  5. Step 5: Solve for x
    x = 1,899,291,909,904/639,259
  6. Step 6: Final answer
    x = 2,971,083.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.