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Finding the Third Proportional to 215,329,378 and 472,346,986

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Solution

The third proportional to 215,329,378 and 472,346,986 is: 1,036,141,362.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,329,378 : 472,346,986 = 472,346,986 : x
  2. Step 2: Convert to fraction form
    215,329,378/472,346,986 = 472,346,986/x
  3. Step 3: Cross multiply
    215,329,378x = 472,346,986 × 472,346,986
  4. Step 4: Simplify right side
    215,329,378x = 223,111,675,183,284,192
  5. Step 5: Solve for x
    x = 223,111,675,183,284,192/215,329,378
  6. Step 6: Final answer
    x = 1,036,141,362.85

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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.