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Finding the Third Proportional to 115,749 and 245,709

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Solution

The third proportional to 115,749 and 245,709 is: 521,584.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,749 : 245,709 = 245,709 : x
  2. Step 2: Convert to fraction form
    115,749/245,709 = 245,709/x
  3. Step 3: Cross multiply
    115,749x = 245,709 × 245,709
  4. Step 4: Simplify right side
    115,749x = 60,372,912,681
  5. Step 5: Solve for x
    x = 60,372,912,681/115,749
  6. Step 6: Final answer
    x = 521,584.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.