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Finding the Third Proportional to 390,563.25 and 608,679

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Solution

The third proportional to 390,563.25 and 608,679 is: 948,604.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,563.25 : 608,679 = 608,679 : x
  2. Step 2: Convert to fraction form
    390,563.25/608,679 = 608,679/x
  3. Step 3: Cross multiply
    390,563.25x = 608,679 × 608,679
  4. Step 4: Simplify right side
    390,563.25x = 370,490,125,041
  5. Step 5: Solve for x
    x = 370,490,125,041/390,563.25
  6. Step 6: Final answer
    x = 948,604.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.