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Finding the Third Proportional to 288,958.50 and 383,521.50

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Solution

The third proportional to 288,958.50 and 383,521.50 is: 509,030.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,958.50 : 383,521.50 = 383,521.50 : x
  2. Step 2: Convert to fraction form
    288,958.50/383,521.50 = 383,521.50/x
  3. Step 3: Cross multiply
    288,958.50x = 383,521.50 × 383,521.50
  4. Step 4: Simplify right side
    288,958.50x = 147,088,740,962.25
  5. Step 5: Solve for x
    x = 147,088,740,962.25/288,958.50
  6. Step 6: Final answer
    x = 509,030.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.