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Finding the Third Proportional to 1,577,277 and 3,431,346

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Solution

The third proportional to 1,577,277 and 3,431,346 is: 7,464,849.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577,277 : 3,431,346 = 3,431,346 : x
  2. Step 2: Convert to fraction form
    1,577,277/3,431,346 = 3,431,346/x
  3. Step 3: Cross multiply
    1,577,277x = 3,431,346 × 3,431,346
  4. Step 4: Simplify right side
    1,577,277x = 11,774,135,371,716
  5. Step 5: Solve for x
    x = 11,774,135,371,716/1,577,277
  6. Step 6: Final answer
    x = 7,464,849.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.