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Finding the Third Proportional to 342,004 and 511,087

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Solution

The third proportional to 342,004 and 511,087 is: 763,762.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,004 : 511,087 = 511,087 : x
  2. Step 2: Convert to fraction form
    342,004/511,087 = 511,087/x
  3. Step 3: Cross multiply
    342,004x = 511,087 × 511,087
  4. Step 4: Simplify right side
    342,004x = 261,209,921,569
  5. Step 5: Solve for x
    x = 261,209,921,569/342,004
  6. Step 6: Final answer
    x = 763,762.77

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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.