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Finding the Third Proportional to 545,784 and 842,004

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Solution

The third proportional to 545,784 and 842,004 is: 1,298,995.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,784 : 842,004 = 842,004 : x
  2. Step 2: Convert to fraction form
    545,784/842,004 = 842,004/x
  3. Step 3: Cross multiply
    545,784x = 842,004 × 842,004
  4. Step 4: Simplify right side
    545,784x = 708,970,736,016
  5. Step 5: Solve for x
    x = 708,970,736,016/545,784
  6. Step 6: Final answer
    x = 1,298,995.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.