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Finding the Third Proportional to 120,541 and 260,521

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Solution

The third proportional to 120,541 and 260,521 is: 563,054.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,541 : 260,521 = 260,521 : x
  2. Step 2: Convert to fraction form
    120,541/260,521 = 260,521/x
  3. Step 3: Cross multiply
    120,541x = 260,521 × 260,521
  4. Step 4: Simplify right side
    120,541x = 67,871,191,441
  5. Step 5: Solve for x
    x = 67,871,191,441/120,541
  6. Step 6: Final answer
    x = 563,054.82

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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.