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Finding the Third Proportional to 209,747,828 and 317,536,230

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Solution

The third proportional to 209,747,828 and 317,536,230 is: 480,716,574.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,747,828 : 317,536,230 = 317,536,230 : x
  2. Step 2: Convert to fraction form
    209,747,828/317,536,230 = 317,536,230/x
  3. Step 3: Cross multiply
    209,747,828x = 317,536,230 × 317,536,230
  4. Step 4: Simplify right side
    209,747,828x = 100,829,257,362,612,896
  5. Step 5: Solve for x
    x = 100,829,257,362,612,896/209,747,828
  6. Step 6: Final answer
    x = 480,716,574.39

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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.