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Finding the Third Proportional to 397,350 and 597,654

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Solution

The third proportional to 397,350 and 597,654 is: 898,931.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,350 : 597,654 = 597,654 : x
  2. Step 2: Convert to fraction form
    397,350/597,654 = 597,654/x
  3. Step 3: Cross multiply
    397,350x = 597,654 × 597,654
  4. Step 4: Simplify right side
    397,350x = 357,190,303,716
  5. Step 5: Solve for x
    x = 357,190,303,716/397,350
  6. Step 6: Final answer
    x = 898,931.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.