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Finding the Third Proportional to 136,117,037 and 209,221,640

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Solution

The third proportional to 136,117,037 and 209,221,640 is: 321,588,653.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,117,037 : 209,221,640 = 209,221,640 : x
  2. Step 2: Convert to fraction form
    136,117,037/209,221,640 = 209,221,640/x
  3. Step 3: Cross multiply
    136,117,037x = 209,221,640 × 209,221,640
  4. Step 4: Simplify right side
    136,117,037x = 43,773,694,644,289,600
  5. Step 5: Solve for x
    x = 43,773,694,644,289,600/136,117,037
  6. Step 6: Final answer
    x = 321,588,653.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.