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Finding the Third Proportional to 217,465 and 260,539

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Solution

The third proportional to 217,465 and 260,539 is: 312,144.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,465 : 260,539 = 260,539 : x
  2. Step 2: Convert to fraction form
    217,465/260,539 = 260,539/x
  3. Step 3: Cross multiply
    217,465x = 260,539 × 260,539
  4. Step 4: Simplify right side
    217,465x = 67,880,570,521
  5. Step 5: Solve for x
    x = 67,880,570,521/217,465
  6. Step 6: Final answer
    x = 312,144.81

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.