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Finding the Third Proportional to 358,980 and 777,396

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Solution

The third proportional to 358,980 and 777,396 is: 1,683,504.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,980 : 777,396 = 777,396 : x
  2. Step 2: Convert to fraction form
    358,980/777,396 = 777,396/x
  3. Step 3: Cross multiply
    358,980x = 777,396 × 777,396
  4. Step 4: Simplify right side
    358,980x = 604,344,540,816
  5. Step 5: Solve for x
    x = 604,344,540,816/358,980
  6. Step 6: Final answer
    x = 1,683,504.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.