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Finding the Third Proportional to 203,440 and 314,745

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Solution

The third proportional to 203,440 and 314,745 is: 486,946.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,440 : 314,745 = 314,745 : x
  2. Step 2: Convert to fraction form
    203,440/314,745 = 314,745/x
  3. Step 3: Cross multiply
    203,440x = 314,745 × 314,745
  4. Step 4: Simplify right side
    203,440x = 99,064,415,025
  5. Step 5: Solve for x
    x = 99,064,415,025/203,440
  6. Step 6: Final answer
    x = 486,946.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.