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Finding the Third Proportional to 7,478,194 and 12,210,009

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Solution

The third proportional to 7,478,194 and 12,210,009 is: 19,935,872.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478,194 : 12,210,009 = 12,210,009 : x
  2. Step 2: Convert to fraction form
    7,478,194/12,210,009 = 12,210,009/x
  3. Step 3: Cross multiply
    7,478,194x = 12,210,009 × 12,210,009
  4. Step 4: Simplify right side
    7,478,194x = 149,084,319,780,081
  5. Step 5: Solve for x
    x = 149,084,319,780,081/7,478,194
  6. Step 6: Final answer
    x = 19,935,872.19

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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.