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Finding the Third Proportional to 345,576 and 540,937

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Solution

The third proportional to 345,576 and 540,937 is: 846,739.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,576 : 540,937 = 540,937 : x
  2. Step 2: Convert to fraction form
    345,576/540,937 = 540,937/x
  3. Step 3: Cross multiply
    345,576x = 540,937 × 540,937
  4. Step 4: Simplify right side
    345,576x = 292,612,837,969
  5. Step 5: Solve for x
    x = 292,612,837,969/345,576
  6. Step 6: Final answer
    x = 846,739.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.