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Finding the Third Proportional to 172,287,129.09 and 378,049,573.69

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Solution

The third proportional to 172,287,129.09 and 378,049,573.69 is: 829,554,017.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,287,129.09 : 378,049,573.69 = 378,049,573.69 : x
  2. Step 2: Convert to fraction form
    172,287,129.09/378,049,573.69 = 378,049,573.69/x
  3. Step 3: Cross multiply
    172,287,129.09x = 378,049,573.69 × 378,049,573.69
  4. Step 4: Simplify right side
    172,287,129.09x = 142,921,480,165,300,496
  5. Step 5: Solve for x
    x = 142,921,480,165,300,496/172,287,129.09
  6. Step 6: Final answer
    x = 829,554,017.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.