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Finding the Third Proportional to 120,729 and 265,362

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Solution

The third proportional to 120,729 and 265,362 is: 583,264.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,729 : 265,362 = 265,362 : x
  2. Step 2: Convert to fraction form
    120,729/265,362 = 265,362/x
  3. Step 3: Cross multiply
    120,729x = 265,362 × 265,362
  4. Step 4: Simplify right side
    120,729x = 70,416,991,044
  5. Step 5: Solve for x
    x = 70,416,991,044/120,729
  6. Step 6: Final answer
    x = 583,264.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.