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Finding the Third Proportional to 127,761,821 and 277,943,812

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Solution

The third proportional to 127,761,821 and 277,943,812 is: 604,662,347.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,761,821 : 277,943,812 = 277,943,812 : x
  2. Step 2: Convert to fraction form
    127,761,821/277,943,812 = 277,943,812/x
  3. Step 3: Cross multiply
    127,761,821x = 277,943,812 × 277,943,812
  4. Step 4: Simplify right side
    127,761,821x = 77,252,762,629,091,344
  5. Step 5: Solve for x
    x = 77,252,762,629,091,344/127,761,821
  6. Step 6: Final answer
    x = 604,662,347.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.