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Finding the Third Proportional to 245,729 and 539,640

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Solution

The third proportional to 245,729 and 539,640 is: 1,185,091.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,729 : 539,640 = 539,640 : x
  2. Step 2: Convert to fraction form
    245,729/539,640 = 539,640/x
  3. Step 3: Cross multiply
    245,729x = 539,640 × 539,640
  4. Step 4: Simplify right side
    245,729x = 291,211,329,600
  5. Step 5: Solve for x
    x = 291,211,329,600/245,729
  6. Step 6: Final answer
    x = 1,185,091.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.