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Finding the Third Proportional to 577,126,011 and 1,210,939,060.50

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Solution

The third proportional to 577,126,011 and 1,210,939,060.50 is: 2,540,820,168.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,126,011 : 1,210,939,060.50 = 1,210,939,060.50 : x
  2. Step 2: Convert to fraction form
    577,126,011/1,210,939,060.50 = 1,210,939,060.50/x
  3. Step 3: Cross multiply
    577,126,011x = 1,210,939,060.50 × 1,210,939,060.50
  4. Step 4: Simplify right side
    577,126,011x = 1,466,373,408,244,622,592
  5. Step 5: Solve for x
    x = 1,466,373,408,244,622,592/577,126,011
  6. Step 6: Final answer
    x = 2,540,820,168.03

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.