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Finding the Third Proportional to 137,879,012 and 209,683,326

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Solution

The third proportional to 137,879,012 and 209,683,326 is: 318,881,725.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,879,012 : 209,683,326 = 209,683,326 : x
  2. Step 2: Convert to fraction form
    137,879,012/209,683,326 = 209,683,326/x
  3. Step 3: Cross multiply
    137,879,012x = 209,683,326 × 209,683,326
  4. Step 4: Simplify right side
    137,879,012x = 43,967,097,202,422,272
  5. Step 5: Solve for x
    x = 43,967,097,202,422,272/137,879,012
  6. Step 6: Final answer
    x = 318,881,725.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.