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Finding the Third Proportional to 340,999.88 and 511,552.13

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Solution

The third proportional to 340,999.88 and 511,552.13 is: 767,406.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,999.88 : 511,552.13 = 511,552.13 : x
  2. Step 2: Convert to fraction form
    340,999.88/511,552.13 = 511,552.13/x
  3. Step 3: Cross multiply
    340,999.88x = 511,552.13 × 511,552.13
  4. Step 4: Simplify right side
    340,999.88x = 261,685,576,592.02
  5. Step 5: Solve for x
    x = 261,685,576,592.02/340,999.88
  6. Step 6: Final answer
    x = 767,406.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.