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Finding the Third Proportional to 3,430,729.69 and 7,145,678.25

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Solution

The third proportional to 3,430,729.69 and 7,145,678.25 is: 14,883,340.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430,729.69 : 7,145,678.25 = 7,145,678.25 : x
  2. Step 2: Convert to fraction form
    3,430,729.69/7,145,678.25 = 7,145,678.25/x
  3. Step 3: Cross multiply
    3,430,729.69x = 7,145,678.25 × 7,145,678.25
  4. Step 4: Simplify right side
    3,430,729.69x = 51,060,717,652,523.06
  5. Step 5: Solve for x
    x = 51,060,717,652,523.06/3,430,729.69
  6. Step 6: Final answer
    x = 14,883,340.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.