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Finding the Third Proportional to 121,567 and 265,265

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Solution

The third proportional to 121,567 and 265,265 is: 578,820.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,567 : 265,265 = 265,265 : x
  2. Step 2: Convert to fraction form
    121,567/265,265 = 265,265/x
  3. Step 3: Cross multiply
    121,567x = 265,265 × 265,265
  4. Step 4: Simplify right side
    121,567x = 70,365,520,225
  5. Step 5: Solve for x
    x = 70,365,520,225/121,567
  6. Step 6: Final answer
    x = 578,820.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.