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Finding the Third Proportional to 358,392 and 769,904

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Solution

The third proportional to 358,392 and 769,904 is: 1,653,921.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,392 : 769,904 = 769,904 : x
  2. Step 2: Convert to fraction form
    358,392/769,904 = 769,904/x
  3. Step 3: Cross multiply
    358,392x = 769,904 × 769,904
  4. Step 4: Simplify right side
    358,392x = 592,752,169,216
  5. Step 5: Solve for x
    x = 592,752,169,216/358,392
  6. Step 6: Final answer
    x = 1,653,921.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.