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Finding the Third Proportional to 242,860.50 and 515,315.25

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Solution

The third proportional to 242,860.50 and 515,315.25 is: 1,093,425.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,860.50 : 515,315.25 = 515,315.25 : x
  2. Step 2: Convert to fraction form
    242,860.50/515,315.25 = 515,315.25/x
  3. Step 3: Cross multiply
    242,860.50x = 515,315.25 × 515,315.25
  4. Step 4: Simplify right side
    242,860.50x = 265,549,806,882.56
  5. Step 5: Solve for x
    x = 265,549,806,882.56/242,860.50
  6. Step 6: Final answer
    x = 1,093,425.27

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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.