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Finding the Third Proportional to 128,403 and 260,693

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Solution

The third proportional to 128,403 and 260,693 is: 529,277.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,403 : 260,693 = 260,693 : x
  2. Step 2: Convert to fraction form
    128,403/260,693 = 260,693/x
  3. Step 3: Cross multiply
    128,403x = 260,693 × 260,693
  4. Step 4: Simplify right side
    128,403x = 67,960,840,249
  5. Step 5: Solve for x
    x = 67,960,840,249/128,403
  6. Step 6: Final answer
    x = 529,277.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.