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Finding the Third Proportional to 121,575 and 252,814

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Solution

The third proportional to 121,575 and 252,814 is: 525,724.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,575 : 252,814 = 252,814 : x
  2. Step 2: Convert to fraction form
    121,575/252,814 = 252,814/x
  3. Step 3: Cross multiply
    121,575x = 252,814 × 252,814
  4. Step 4: Simplify right side
    121,575x = 63,914,918,596
  5. Step 5: Solve for x
    x = 63,914,918,596/121,575
  6. Step 6: Final answer
    x = 525,724.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.