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Finding the Third Proportional to 628,803 and 1,363,943

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Solution

The third proportional to 628,803 and 1,363,943 is: 2,958,542.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,803 : 1,363,943 = 1,363,943 : x
  2. Step 2: Convert to fraction form
    628,803/1,363,943 = 1,363,943/x
  3. Step 3: Cross multiply
    628,803x = 1,363,943 × 1,363,943
  4. Step 4: Simplify right side
    628,803x = 1,860,340,507,249
  5. Step 5: Solve for x
    x = 1,860,340,507,249/628,803
  6. Step 6: Final answer
    x = 2,958,542.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.