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Finding the Third Proportional to 409,908,860 and 885,133,930

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Solution

The third proportional to 409,908,860 and 885,133,930 is: 1,911,307,977.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,908,860 : 885,133,930 = 885,133,930 : x
  2. Step 2: Convert to fraction form
    409,908,860/885,133,930 = 885,133,930/x
  3. Step 3: Cross multiply
    409,908,860x = 885,133,930 × 885,133,930
  4. Step 4: Simplify right side
    409,908,860x = 783,462,074,037,244,928
  5. Step 5: Solve for x
    x = 783,462,074,037,244,928/409,908,860
  6. Step 6: Final answer
    x = 1,911,307,977.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.