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Finding the Third Proportional to 11,808,349 and 19,281,970

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Solution

The third proportional to 11,808,349 and 19,281,970 is: 31,485,719.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808,349 : 19,281,970 = 19,281,970 : x
  2. Step 2: Convert to fraction form
    11,808,349/19,281,970 = 19,281,970/x
  3. Step 3: Cross multiply
    11,808,349x = 19,281,970 × 19,281,970
  4. Step 4: Simplify right side
    11,808,349x = 371,794,367,080,900
  5. Step 5: Solve for x
    x = 371,794,367,080,900/11,808,349
  6. Step 6: Final answer
    x = 31,485,719.73

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.