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Finding the Third Proportional to 209,760,032 and 317,551,920

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Solution

The third proportional to 209,760,032 and 317,551,920 is: 480,736,110.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,760,032 : 317,551,920 = 317,551,920 : x
  2. Step 2: Convert to fraction form
    209,760,032/317,551,920 = 317,551,920/x
  3. Step 3: Cross multiply
    209,760,032x = 317,551,920 × 317,551,920
  4. Step 4: Simplify right side
    209,760,032x = 100,839,221,895,686,400
  5. Step 5: Solve for x
    x = 100,839,221,895,686,400/209,760,032
  6. Step 6: Final answer
    x = 480,736,110.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.