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Finding the Third Proportional to 203,402 and 307,731

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Solution

The third proportional to 203,402 and 307,731 is: 465,572.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,402 : 307,731 = 307,731 : x
  2. Step 2: Convert to fraction form
    203,402/307,731 = 307,731/x
  3. Step 3: Cross multiply
    203,402x = 307,731 × 307,731
  4. Step 4: Simplify right side
    203,402x = 94,698,368,361
  5. Step 5: Solve for x
    x = 94,698,368,361/203,402
  6. Step 6: Final answer
    x = 465,572.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.