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Finding the Third Proportional to 120,558 and 260,556

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Solution

The third proportional to 120,558 and 260,556 is: 563,126.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,558 : 260,556 = 260,556 : x
  2. Step 2: Convert to fraction form
    120,558/260,556 = 260,556/x
  3. Step 3: Cross multiply
    120,558x = 260,556 × 260,556
  4. Step 4: Simplify right side
    120,558x = 67,889,429,136
  5. Step 5: Solve for x
    x = 67,889,429,136/120,558
  6. Step 6: Final answer
    x = 563,126.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.