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Finding the Third Proportional to 308,425 and 713,953

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Solution

The third proportional to 308,425 and 713,953 is: 1,652,683.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,425 : 713,953 = 713,953 : x
  2. Step 2: Convert to fraction form
    308,425/713,953 = 713,953/x
  3. Step 3: Cross multiply
    308,425x = 713,953 × 713,953
  4. Step 4: Simplify right side
    308,425x = 509,728,886,209
  5. Step 5: Solve for x
    x = 509,728,886,209/308,425
  6. Step 6: Final answer
    x = 1,652,683.43

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.