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Finding the Third Proportional to 308,132 and 646,072

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Solution

The third proportional to 308,132 and 646,072 is: 1,354,643.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,132 : 646,072 = 646,072 : x
  2. Step 2: Convert to fraction form
    308,132/646,072 = 646,072/x
  3. Step 3: Cross multiply
    308,132x = 646,072 × 646,072
  4. Step 4: Simplify right side
    308,132x = 417,409,029,184
  5. Step 5: Solve for x
    x = 417,409,029,184/308,132
  6. Step 6: Final answer
    x = 1,354,643.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.