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Finding the Third Proportional to 654,439 and 1,368,168

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Solution

The third proportional to 654,439 and 1,368,168 is: 2,860,287.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,439 : 1,368,168 = 1,368,168 : x
  2. Step 2: Convert to fraction form
    654,439/1,368,168 = 1,368,168/x
  3. Step 3: Cross multiply
    654,439x = 1,368,168 × 1,368,168
  4. Step 4: Simplify right side
    654,439x = 1,871,883,676,224
  5. Step 5: Solve for x
    x = 1,871,883,676,224/654,439
  6. Step 6: Final answer
    x = 2,860,287.48

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.