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Finding the Third Proportional to 390,741 and 608,940

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Solution

The third proportional to 390,741 and 608,940 is: 948,986.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,741 : 608,940 = 608,940 : x
  2. Step 2: Convert to fraction form
    390,741/608,940 = 608,940/x
  3. Step 3: Cross multiply
    390,741x = 608,940 × 608,940
  4. Step 4: Simplify right side
    390,741x = 370,807,923,600
  5. Step 5: Solve for x
    x = 370,807,923,600/390,741
  6. Step 6: Final answer
    x = 948,986.47

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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.