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Finding the Third Proportional to 149,503 and 249,162

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Solution

The third proportional to 149,503 and 249,162 is: 415,253.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,503 : 249,162 = 249,162 : x
  2. Step 2: Convert to fraction form
    149,503/249,162 = 249,162/x
  3. Step 3: Cross multiply
    149,503x = 249,162 × 249,162
  4. Step 4: Simplify right side
    149,503x = 62,081,702,244
  5. Step 5: Solve for x
    x = 62,081,702,244/149,503
  6. Step 6: Final answer
    x = 415,253.89

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.