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Finding the Third Proportional to 484,208,401.50 and 770,847,151.50

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Solution

The third proportional to 484,208,401.50 and 770,847,151.50 is: 1,227,168,568.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,208,401.50 : 770,847,151.50 = 770,847,151.50 : x
  2. Step 2: Convert to fraction form
    484,208,401.50/770,847,151.50 = 770,847,151.50/x
  3. Step 3: Cross multiply
    484,208,401.50x = 770,847,151.50 × 770,847,151.50
  4. Step 4: Simplify right side
    484,208,401.50x = 594,205,330,975,664,000
  5. Step 5: Solve for x
    x = 594,205,330,975,664,000/484,208,401.50
  6. Step 6: Final answer
    x = 1,227,168,568.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.