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Finding the Third Proportional to 398,938.50 and 598,407

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Solution

The third proportional to 398,938.50 and 598,407 is: 897,609.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,938.50 : 598,407 = 598,407 : x
  2. Step 2: Convert to fraction form
    398,938.50/598,407 = 598,407/x
  3. Step 3: Cross multiply
    398,938.50x = 598,407 × 598,407
  4. Step 4: Simplify right side
    398,938.50x = 358,090,937,649
  5. Step 5: Solve for x
    x = 358,090,937,649/398,938.50
  6. Step 6: Final answer
    x = 897,609.38

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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.