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Finding the Third Proportional to 288,321 and 619,288.50

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Solution

The third proportional to 288,321 and 619,288.50 is: 1,330,177.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,321 : 619,288.50 = 619,288.50 : x
  2. Step 2: Convert to fraction form
    288,321/619,288.50 = 619,288.50/x
  3. Step 3: Cross multiply
    288,321x = 619,288.50 × 619,288.50
  4. Step 4: Simplify right side
    288,321x = 383,518,246,232.25
  5. Step 5: Solve for x
    x = 383,518,246,232.25/288,321
  6. Step 6: Final answer
    x = 1,330,177.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.