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Finding the Third Proportional to 390,563 and 608,680

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Solution

The third proportional to 390,563 and 608,680 is: 948,608.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,563 : 608,680 = 608,680 : x
  2. Step 2: Convert to fraction form
    390,563/608,680 = 608,680/x
  3. Step 3: Cross multiply
    390,563x = 608,680 × 608,680
  4. Step 4: Simplify right side
    390,563x = 370,491,342,400
  5. Step 5: Solve for x
    x = 370,491,342,400/390,563
  6. Step 6: Final answer
    x = 948,608.40

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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.