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Finding the Third Proportional to 550,526 and 842,242

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Solution

The third proportional to 550,526 and 842,242 is: 1,288,534.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,526 : 842,242 = 842,242 : x
  2. Step 2: Convert to fraction form
    550,526/842,242 = 842,242/x
  3. Step 3: Cross multiply
    550,526x = 842,242 × 842,242
  4. Step 4: Simplify right side
    550,526x = 709,371,586,564
  5. Step 5: Solve for x
    x = 709,371,586,564/550,526
  6. Step 6: Final answer
    x = 1,288,534.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.