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Finding the Third Proportional to 357,898 and 778,774

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Solution

The third proportional to 357,898 and 778,774 is: 1,694,586.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,898 : 778,774 = 778,774 : x
  2. Step 2: Convert to fraction form
    357,898/778,774 = 778,774/x
  3. Step 3: Cross multiply
    357,898x = 778,774 × 778,774
  4. Step 4: Simplify right side
    357,898x = 606,488,943,076
  5. Step 5: Solve for x
    x = 606,488,943,076/357,898
  6. Step 6: Final answer
    x = 1,694,586.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.