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Finding the Third Proportional to 353,813 and 740,431

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Solution

The third proportional to 353,813 and 740,431 is: 1,549,513.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,813 : 740,431 = 740,431 : x
  2. Step 2: Convert to fraction form
    353,813/740,431 = 740,431/x
  3. Step 3: Cross multiply
    353,813x = 740,431 × 740,431
  4. Step 4: Simplify right side
    353,813x = 548,238,065,761
  5. Step 5: Solve for x
    x = 548,238,065,761/353,813
  6. Step 6: Final answer
    x = 1,549,513.63

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.