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Finding the Third Proportional to 628,128 and 1,395,572

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Solution

The third proportional to 628,128 and 1,395,572 is: 3,100,675.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,128 : 1,395,572 = 1,395,572 : x
  2. Step 2: Convert to fraction form
    628,128/1,395,572 = 1,395,572/x
  3. Step 3: Cross multiply
    628,128x = 1,395,572 × 1,395,572
  4. Step 4: Simplify right side
    628,128x = 1,947,621,207,184
  5. Step 5: Solve for x
    x = 1,947,621,207,184/628,128
  6. Step 6: Final answer
    x = 3,100,675.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.