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Finding the Third Proportional to 288,211.50 and 626,265

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Solution

The third proportional to 288,211.50 and 626,265 is: 1,360,833.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,211.50 : 626,265 = 626,265 : x
  2. Step 2: Convert to fraction form
    288,211.50/626,265 = 626,265/x
  3. Step 3: Cross multiply
    288,211.50x = 626,265 × 626,265
  4. Step 4: Simplify right side
    288,211.50x = 392,207,850,225
  5. Step 5: Solve for x
    x = 392,207,850,225/288,211.50
  6. Step 6: Final answer
    x = 1,360,833.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.