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Finding the Third Proportional to 335,020 and 511,710

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Solution

The third proportional to 335,020 and 511,710 is: 781,586.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,020 : 511,710 = 511,710 : x
  2. Step 2: Convert to fraction form
    335,020/511,710 = 511,710/x
  3. Step 3: Cross multiply
    335,020x = 511,710 × 511,710
  4. Step 4: Simplify right side
    335,020x = 261,847,124,100
  5. Step 5: Solve for x
    x = 261,847,124,100/335,020
  6. Step 6: Final answer
    x = 781,586.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.