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Finding the Third Proportional to 398,312 and 597,900

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Solution

The third proportional to 398,312 and 597,900 is: 897,498.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,312 : 597,900 = 597,900 : x
  2. Step 2: Convert to fraction form
    398,312/597,900 = 597,900/x
  3. Step 3: Cross multiply
    398,312x = 597,900 × 597,900
  4. Step 4: Simplify right side
    398,312x = 357,484,410,000
  5. Step 5: Solve for x
    x = 357,484,410,000/398,312
  6. Step 6: Final answer
    x = 897,498.47

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