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Finding the Third Proportional to 273,160.13 and 428,505.19

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Solution

The third proportional to 273,160.13 and 428,505.19 is: 672,194.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,160.13 : 428,505.19 = 428,505.19 : x
  2. Step 2: Convert to fraction form
    273,160.13/428,505.19 = 428,505.19/x
  3. Step 3: Cross multiply
    273,160.13x = 428,505.19 × 428,505.19
  4. Step 4: Simplify right side
    273,160.13x = 183,616,695,714.41
  5. Step 5: Solve for x
    x = 183,616,695,714.41/273,160.13
  6. Step 6: Final answer
    x = 672,194.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.