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Finding the Third Proportional to 121,230 and 265,032

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Solution

The third proportional to 121,230 and 265,032 is: 579,410.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,230 : 265,032 = 265,032 : x
  2. Step 2: Convert to fraction form
    121,230/265,032 = 265,032/x
  3. Step 3: Cross multiply
    121,230x = 265,032 × 265,032
  4. Step 4: Simplify right side
    121,230x = 70,241,961,024
  5. Step 5: Solve for x
    x = 70,241,961,024/121,230
  6. Step 6: Final answer
    x = 579,410.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.