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Finding the Third Proportional to 125,545 and 259,780

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Solution

The third proportional to 125,545 and 259,780 is: 537,541.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,545 : 259,780 = 259,780 : x
  2. Step 2: Convert to fraction form
    125,545/259,780 = 259,780/x
  3. Step 3: Cross multiply
    125,545x = 259,780 × 259,780
  4. Step 4: Simplify right side
    125,545x = 67,485,648,400
  5. Step 5: Solve for x
    x = 67,485,648,400/125,545
  6. Step 6: Final answer
    x = 537,541.51

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.