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Finding the Third Proportional to 121,597.50 and 265,119

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Solution

The third proportional to 121,597.50 and 265,119 is: 578,038.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,597.50 : 265,119 = 265,119 : x
  2. Step 2: Convert to fraction form
    121,597.50/265,119 = 265,119/x
  3. Step 3: Cross multiply
    121,597.50x = 265,119 × 265,119
  4. Step 4: Simplify right side
    121,597.50x = 70,288,084,161
  5. Step 5: Solve for x
    x = 70,288,084,161/121,597.50
  6. Step 6: Final answer
    x = 578,038.89

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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.