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Finding the Third Proportional to 69,620,720 and 150,812,320

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Solution

The third proportional to 69,620,720 and 150,812,320 is: 326,689,466.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,620,720 : 150,812,320 = 150,812,320 : x
  2. Step 2: Convert to fraction form
    69,620,720/150,812,320 = 150,812,320/x
  3. Step 3: Cross multiply
    69,620,720x = 150,812,320 × 150,812,320
  4. Step 4: Simplify right side
    69,620,720x = 22,744,355,863,782,400
  5. Step 5: Solve for x
    x = 22,744,355,863,782,400/69,620,720
  6. Step 6: Final answer
    x = 326,689,466.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.