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Finding the Third Proportional to 443,649,916 and 689,668,467

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Solution

The third proportional to 443,649,916 and 689,668,467 is: 1,072,112,440.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,649,916 : 689,668,467 = 689,668,467 : x
  2. Step 2: Convert to fraction form
    443,649,916/689,668,467 = 689,668,467/x
  3. Step 3: Cross multiply
    443,649,916x = 689,668,467 × 689,668,467
  4. Step 4: Simplify right side
    443,649,916x = 475,642,594,374,130,112
  5. Step 5: Solve for x
    x = 475,642,594,374,130,112/443,649,916
  6. Step 6: Final answer
    x = 1,072,112,440.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.