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Finding the Third Proportional to 172,969,469 and 278,537,814.75

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Solution

The third proportional to 172,969,469 and 278,537,814.75 is: 448,537,621.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,969,469 : 278,537,814.75 = 278,537,814.75 : x
  2. Step 2: Convert to fraction form
    172,969,469/278,537,814.75 = 278,537,814.75/x
  3. Step 3: Cross multiply
    172,969,469x = 278,537,814.75 × 278,537,814.75
  4. Step 4: Simplify right side
    172,969,469x = 77,583,314,245,705,312
  5. Step 5: Solve for x
    x = 77,583,314,245,705,312/172,969,469
  6. Step 6: Final answer
    x = 448,537,621.66

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.