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Finding the Third Proportional to 273,840 and 592,608

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Solution

The third proportional to 273,840 and 592,608 is: 1,282,443.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,840 : 592,608 = 592,608 : x
  2. Step 2: Convert to fraction form
    273,840/592,608 = 592,608/x
  3. Step 3: Cross multiply
    273,840x = 592,608 × 592,608
  4. Step 4: Simplify right side
    273,840x = 351,184,241,664
  5. Step 5: Solve for x
    x = 351,184,241,664/273,840
  6. Step 6: Final answer
    x = 1,282,443.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.