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Finding the Third Proportional to 540,840 and 841,824

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Solution

The third proportional to 540,840 and 841,824 is: 1,310,309.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,840 : 841,824 = 841,824 : x
  2. Step 2: Convert to fraction form
    540,840/841,824 = 841,824/x
  3. Step 3: Cross multiply
    540,840x = 841,824 × 841,824
  4. Step 4: Simplify right side
    540,840x = 708,667,646,976
  5. Step 5: Solve for x
    x = 708,667,646,976/540,840
  6. Step 6: Final answer
    x = 1,310,309.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.