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Finding the Third Proportional to 398,030 and 602,805

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Solution

The third proportional to 398,030 and 602,805 is: 912,930.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,030 : 602,805 = 602,805 : x
  2. Step 2: Convert to fraction form
    398,030/602,805 = 602,805/x
  3. Step 3: Cross multiply
    398,030x = 602,805 × 602,805
  4. Step 4: Simplify right side
    398,030x = 363,373,868,025
  5. Step 5: Solve for x
    x = 363,373,868,025/398,030
  6. Step 6: Final answer
    x = 912,930.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.