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Finding the Third Proportional to 665,862 and 1,438,144.50

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Solution

The third proportional to 665,862 and 1,438,144.50 is: 3,106,138.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,862 : 1,438,144.50 = 1,438,144.50 : x
  2. Step 2: Convert to fraction form
    665,862/1,438,144.50 = 1,438,144.50/x
  3. Step 3: Cross multiply
    665,862x = 1,438,144.50 × 1,438,144.50
  4. Step 4: Simplify right side
    665,862x = 2,068,259,602,880.25
  5. Step 5: Solve for x
    x = 2,068,259,602,880.25/665,862
  6. Step 6: Final answer
    x = 3,106,138.51

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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.