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Finding the Third Proportional to 342,710 and 740,908

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Solution

The third proportional to 342,710 and 740,908 is: 1,601,776.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,710 : 740,908 = 740,908 : x
  2. Step 2: Convert to fraction form
    342,710/740,908 = 740,908/x
  3. Step 3: Cross multiply
    342,710x = 740,908 × 740,908
  4. Step 4: Simplify right side
    342,710x = 548,944,664,464
  5. Step 5: Solve for x
    x = 548,944,664,464/342,710
  6. Step 6: Final answer
    x = 1,601,776.03

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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.