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Finding the Third Proportional to 398,960 and 583,010

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Solution

The third proportional to 398,960 and 583,010 is: 851,966.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,960 : 583,010 = 583,010 : x
  2. Step 2: Convert to fraction form
    398,960/583,010 = 583,010/x
  3. Step 3: Cross multiply
    398,960x = 583,010 × 583,010
  4. Step 4: Simplify right side
    398,960x = 339,900,660,100
  5. Step 5: Solve for x
    x = 339,900,660,100/398,960
  6. Step 6: Final answer
    x = 851,966.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.