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Finding the Third Proportional to 385,264.50 and 511,202.25

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Solution

The third proportional to 385,264.50 and 511,202.25 is: 678,307.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,264.50 : 511,202.25 = 511,202.25 : x
  2. Step 2: Convert to fraction form
    385,264.50/511,202.25 = 511,202.25/x
  3. Step 3: Cross multiply
    385,264.50x = 511,202.25 × 511,202.25
  4. Step 4: Simplify right side
    385,264.50x = 261,327,740,405.06
  5. Step 5: Solve for x
    x = 261,327,740,405.06/385,264.50
  6. Step 6: Final answer
    x = 678,307.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.