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Finding the Third Proportional to 390,039.75 and 547,653

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Solution

The third proportional to 390,039.75 and 547,653 is: 768,957.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,039.75 : 547,653 = 547,653 : x
  2. Step 2: Convert to fraction form
    390,039.75/547,653 = 547,653/x
  3. Step 3: Cross multiply
    390,039.75x = 547,653 × 547,653
  4. Step 4: Simplify right side
    390,039.75x = 299,923,808,409
  5. Step 5: Solve for x
    x = 299,923,808,409/390,039.75
  6. Step 6: Final answer
    x = 768,957.03

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.