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Finding the Third Proportional to 243,860.50 and 499,020.50

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Solution

The third proportional to 243,860.50 and 499,020.50 is: 1,021,163.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,860.50 : 499,020.50 = 499,020.50 : x
  2. Step 2: Convert to fraction form
    243,860.50/499,020.50 = 499,020.50/x
  3. Step 3: Cross multiply
    243,860.50x = 499,020.50 × 499,020.50
  4. Step 4: Simplify right side
    243,860.50x = 249,021,459,420.25
  5. Step 5: Solve for x
    x = 249,021,459,420.25/243,860.50
  6. Step 6: Final answer
    x = 1,021,163.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.