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Finding the Third Proportional to 699,130 and 1,489,772

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Solution

The third proportional to 699,130 and 1,489,772 is: 3,174,546.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,130 : 1,489,772 = 1,489,772 : x
  2. Step 2: Convert to fraction form
    699,130/1,489,772 = 1,489,772/x
  3. Step 3: Cross multiply
    699,130x = 1,489,772 × 1,489,772
  4. Step 4: Simplify right side
    699,130x = 2,219,420,611,984
  5. Step 5: Solve for x
    x = 2,219,420,611,984/699,130
  6. Step 6: Final answer
    x = 3,174,546.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.