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Finding the Third Proportional to 358,848 and 778,752

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Solution

The third proportional to 358,848 and 778,752 is: 1,690,004.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,848 : 778,752 = 778,752 : x
  2. Step 2: Convert to fraction form
    358,848/778,752 = 778,752/x
  3. Step 3: Cross multiply
    358,848x = 778,752 × 778,752
  4. Step 4: Simplify right side
    358,848x = 606,454,677,504
  5. Step 5: Solve for x
    x = 606,454,677,504/358,848
  6. Step 6: Final answer
    x = 1,690,004.34

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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.