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Finding the Third Proportional to 342,020 and 511,114

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Solution

The third proportional to 342,020 and 511,114 is: 763,807.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,020 : 511,114 = 511,114 : x
  2. Step 2: Convert to fraction form
    342,020/511,114 = 511,114/x
  3. Step 3: Cross multiply
    342,020x = 511,114 × 511,114
  4. Step 4: Simplify right side
    342,020x = 261,237,520,996
  5. Step 5: Solve for x
    x = 261,237,520,996/342,020
  6. Step 6: Final answer
    x = 763,807.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.