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Finding the Third Proportional to 12,771,670 and 19,290,174

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Solution

The third proportional to 12,771,670 and 19,290,174 is: 29,135,642.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771,670 : 19,290,174 = 19,290,174 : x
  2. Step 2: Convert to fraction form
    12,771,670/19,290,174 = 19,290,174/x
  3. Step 3: Cross multiply
    12,771,670x = 19,290,174 × 19,290,174
  4. Step 4: Simplify right side
    12,771,670x = 372,110,812,950,276
  5. Step 5: Solve for x
    x = 372,110,812,950,276/12,771,670
  6. Step 6: Final answer
    x = 29,135,642.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.