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Finding the Third Proportional to 308,018 and 451,359

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Solution

The third proportional to 308,018 and 451,359 is: 661,405.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,018 : 451,359 = 451,359 : x
  2. Step 2: Convert to fraction form
    308,018/451,359 = 451,359/x
  3. Step 3: Cross multiply
    308,018x = 451,359 × 451,359
  4. Step 4: Simplify right side
    308,018x = 203,724,946,881
  5. Step 5: Solve for x
    x = 203,724,946,881/308,018
  6. Step 6: Final answer
    x = 661,405.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.