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Finding the Third Proportional to 203,388 and 307,711

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Solution

The third proportional to 203,388 and 307,711 is: 465,543.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,388 : 307,711 = 307,711 : x
  2. Step 2: Convert to fraction form
    203,388/307,711 = 307,711/x
  3. Step 3: Cross multiply
    203,388x = 307,711 × 307,711
  4. Step 4: Simplify right side
    203,388x = 94,686,059,521
  5. Step 5: Solve for x
    x = 94,686,059,521/203,388
  6. Step 6: Final answer
    x = 465,543.98

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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.