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Finding the Third Proportional to 242,068.50 and 511,821

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Solution

The third proportional to 242,068.50 and 511,821 is: 1,082,176.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,068.50 : 511,821 = 511,821 : x
  2. Step 2: Convert to fraction form
    242,068.50/511,821 = 511,821/x
  3. Step 3: Cross multiply
    242,068.50x = 511,821 × 511,821
  4. Step 4: Simplify right side
    242,068.50x = 261,960,736,041
  5. Step 5: Solve for x
    x = 261,960,736,041/242,068.50
  6. Step 6: Final answer
    x = 1,082,176.06

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.