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Finding the Third Proportional to 115,713 and 240,642

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Solution

The third proportional to 115,713 and 240,642 is: 500,450.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,713 : 240,642 = 240,642 : x
  2. Step 2: Convert to fraction form
    115,713/240,642 = 240,642/x
  3. Step 3: Cross multiply
    115,713x = 240,642 × 240,642
  4. Step 4: Simplify right side
    115,713x = 57,908,572,164
  5. Step 5: Solve for x
    x = 57,908,572,164/115,713
  6. Step 6: Final answer
    x = 500,450.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.