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Finding the Third Proportional to 150,930,624,270 and 323,063,414,556

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Solution

The third proportional to 150,930,624,270 and 323,063,414,556 is: 691,509,561,623.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,930,624,270 : 323,063,414,556 = 323,063,414,556 : x
  2. Step 2: Convert to fraction form
    150,930,624,270/323,063,414,556 = 323,063,414,556/x
  3. Step 3: Cross multiply
    150,930,624,270x = 323,063,414,556 × 323,063,414,556
  4. Step 4: Simplify right side
    150,930,624,270x = 104,369,969,824,581,904,498,688
  5. Step 5: Solve for x
    x = 104,369,969,824,581,904,498,688/150,930,624,270
  6. Step 6: Final answer
    x = 691,509,561,623.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.