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Finding the Third Proportional to 358,956 and 777,348

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Solution

The third proportional to 358,956 and 777,348 is: 1,683,409.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,956 : 777,348 = 777,348 : x
  2. Step 2: Convert to fraction form
    358,956/777,348 = 777,348/x
  3. Step 3: Cross multiply
    358,956x = 777,348 × 777,348
  4. Step 4: Simplify right side
    358,956x = 604,269,913,104
  5. Step 5: Solve for x
    x = 604,269,913,104/358,956
  6. Step 6: Final answer
    x = 1,683,409.42

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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.