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Finding the Third Proportional to 30,279,830 and 65,670,679

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Solution

The third proportional to 30,279,830 and 65,670,679 is: 142,426,099.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,279,830 : 65,670,679 = 65,670,679 : x
  2. Step 2: Convert to fraction form
    30,279,830/65,670,679 = 65,670,679/x
  3. Step 3: Cross multiply
    30,279,830x = 65,670,679 × 65,670,679
  4. Step 4: Simplify right side
    30,279,830x = 4,312,638,080,321,041
  5. Step 5: Solve for x
    x = 4,312,638,080,321,041/30,279,830
  6. Step 6: Final answer
    x = 142,426,099.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.