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Finding the Third Proportional to 292,431.75 and 621,759

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Solution

The third proportional to 292,431.75 and 621,759 is: 1,321,964.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,431.75 : 621,759 = 621,759 : x
  2. Step 2: Convert to fraction form
    292,431.75/621,759 = 621,759/x
  3. Step 3: Cross multiply
    292,431.75x = 621,759 × 621,759
  4. Step 4: Simplify right side
    292,431.75x = 386,584,254,081
  5. Step 5: Solve for x
    x = 386,584,254,081/292,431.75
  6. Step 6: Final answer
    x = 1,321,964.03

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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.