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Finding the Third Proportional to 30,279,834 and 65,670,687

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Solution

The third proportional to 30,279,834 and 65,670,687 is: 142,426,115.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,279,834 : 65,670,687 = 65,670,687 : x
  2. Step 2: Convert to fraction form
    30,279,834/65,670,687 = 65,670,687/x
  3. Step 3: Cross multiply
    30,279,834x = 65,670,687 × 65,670,687
  4. Step 4: Simplify right side
    30,279,834x = 4,312,639,131,051,969
  5. Step 5: Solve for x
    x = 4,312,639,131,051,969/30,279,834
  6. Step 6: Final answer
    x = 142,426,115.38

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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.