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Finding the Third Proportional to 358,849 and 778,754

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Solution

The third proportional to 358,849 and 778,754 is: 1,690,008.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,849 : 778,754 = 778,754 : x
  2. Step 2: Convert to fraction form
    358,849/778,754 = 778,754/x
  3. Step 3: Cross multiply
    358,849x = 778,754 × 778,754
  4. Step 4: Simplify right side
    358,849x = 606,457,792,516
  5. Step 5: Solve for x
    x = 606,457,792,516/358,849
  6. Step 6: Final answer
    x = 1,690,008.31

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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.