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Finding the Third Proportional to 554,104 and 842,820

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Solution

The third proportional to 554,104 and 842,820 is: 1,281,971.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,104 : 842,820 = 842,820 : x
  2. Step 2: Convert to fraction form
    554,104/842,820 = 842,820/x
  3. Step 3: Cross multiply
    554,104x = 842,820 × 842,820
  4. Step 4: Simplify right side
    554,104x = 710,345,552,400
  5. Step 5: Solve for x
    x = 710,345,552,400/554,104
  6. Step 6: Final answer
    x = 1,281,971.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.