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Finding the Third Proportional to 125,902 and 257,620

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Solution

The third proportional to 125,902 and 257,620 is: 527,140.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,902 : 257,620 = 257,620 : x
  2. Step 2: Convert to fraction form
    125,902/257,620 = 257,620/x
  3. Step 3: Cross multiply
    125,902x = 257,620 × 257,620
  4. Step 4: Simplify right side
    125,902x = 66,368,064,400
  5. Step 5: Solve for x
    x = 66,368,064,400/125,902
  6. Step 6: Final answer
    x = 527,140.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.