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Finding the Third Proportional to 172,287,081 and 378,049,477.50

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Solution

The third proportional to 172,287,081 and 378,049,477.50 is: 829,553,827.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,287,081 : 378,049,477.50 = 378,049,477.50 : x
  2. Step 2: Convert to fraction form
    172,287,081/378,049,477.50 = 378,049,477.50/x
  3. Step 3: Cross multiply
    172,287,081x = 378,049,477.50 × 378,049,477.50
  4. Step 4: Simplify right side
    172,287,081x = 142,921,407,438,023,008
  5. Step 5: Solve for x
    x = 142,921,407,438,023,008/172,287,081
  6. Step 6: Final answer
    x = 829,553,827.30

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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.