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Finding the Third Proportional to 355,007 and 778,863

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Solution

The third proportional to 355,007 and 778,863 is: 1,708,776.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,007 : 778,863 = 778,863 : x
  2. Step 2: Convert to fraction form
    355,007/778,863 = 778,863/x
  3. Step 3: Cross multiply
    355,007x = 778,863 × 778,863
  4. Step 4: Simplify right side
    355,007x = 606,627,572,769
  5. Step 5: Solve for x
    x = 606,627,572,769/355,007
  6. Step 6: Final answer
    x = 1,708,776.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.