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Finding the Third Proportional to 427,899 and 598,198.50

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Solution

The third proportional to 427,899 and 598,198.50 is: 836,275.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,899 : 598,198.50 = 598,198.50 : x
  2. Step 2: Convert to fraction form
    427,899/598,198.50 = 598,198.50/x
  3. Step 3: Cross multiply
    427,899x = 598,198.50 × 598,198.50
  4. Step 4: Simplify right side
    427,899x = 357,841,445,402.25
  5. Step 5: Solve for x
    x = 357,841,445,402.25/427,899
  6. Step 6: Final answer
    x = 836,275.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.