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Finding the Third Proportional to 121,614 and 265,584

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Solution

The third proportional to 121,614 and 265,584 is: 579,989.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,614 : 265,584 = 265,584 : x
  2. Step 2: Convert to fraction form
    121,614/265,584 = 265,584/x
  3. Step 3: Cross multiply
    121,614x = 265,584 × 265,584
  4. Step 4: Simplify right side
    121,614x = 70,534,861,056
  5. Step 5: Solve for x
    x = 70,534,861,056/121,614
  6. Step 6: Final answer
    x = 579,989.65

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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.