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Finding the Third Proportional to 545,808 and 842,040

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Solution

The third proportional to 545,808 and 842,040 is: 1,299,049.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,808 : 842,040 = 842,040 : x
  2. Step 2: Convert to fraction form
    545,808/842,040 = 842,040/x
  3. Step 3: Cross multiply
    545,808x = 842,040 × 842,040
  4. Step 4: Simplify right side
    545,808x = 709,031,361,600
  5. Step 5: Solve for x
    x = 709,031,361,600/545,808
  6. Step 6: Final answer
    x = 1,299,049.05

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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.