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Finding the Third Proportional to 357,975 and 771,988

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Solution

The third proportional to 357,975 and 771,988 is: 1,664,824.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,975 : 771,988 = 771,988 : x
  2. Step 2: Convert to fraction form
    357,975/771,988 = 771,988/x
  3. Step 3: Cross multiply
    357,975x = 771,988 × 771,988
  4. Step 4: Simplify right side
    357,975x = 595,965,472,144
  5. Step 5: Solve for x
    x = 595,965,472,144/357,975
  6. Step 6: Final answer
    x = 1,664,824.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.