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Finding the Third Proportional to 620,102.25 and 1,328,774.63

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Solution

The third proportional to 620,102.25 and 1,328,774.63 is: 2,847,340.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,102.25 : 1,328,774.63 = 1,328,774.63 : x
  2. Step 2: Convert to fraction form
    620,102.25/1,328,774.63 = 1,328,774.63/x
  3. Step 3: Cross multiply
    620,102.25x = 1,328,774.63 × 1,328,774.63
  4. Step 4: Simplify right side
    620,102.25x = 1,765,642,004,043.89
  5. Step 5: Solve for x
    x = 1,765,642,004,043.89/620,102.25
  6. Step 6: Final answer
    x = 2,847,340.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.