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Finding the Third Proportional to 215,216,838 and 301,991,868

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Solution

The third proportional to 215,216,838 and 301,991,868 is: 423,754,429.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,216,838 : 301,991,868 = 301,991,868 : x
  2. Step 2: Convert to fraction form
    215,216,838/301,991,868 = 301,991,868/x
  3. Step 3: Cross multiply
    215,216,838x = 301,991,868 × 301,991,868
  4. Step 4: Simplify right side
    215,216,838x = 91,199,088,338,129,424
  5. Step 5: Solve for x
    x = 91,199,088,338,129,424/215,216,838
  6. Step 6: Final answer
    x = 423,754,429.19

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.