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Finding the Third Proportional to 308,117 and 666,778

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Solution

The third proportional to 308,117 and 666,778 is: 1,442,935.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,117 : 666,778 = 666,778 : x
  2. Step 2: Convert to fraction form
    308,117/666,778 = 666,778/x
  3. Step 3: Cross multiply
    308,117x = 666,778 × 666,778
  4. Step 4: Simplify right side
    308,117x = 444,592,901,284
  5. Step 5: Solve for x
    x = 444,592,901,284/308,117
  6. Step 6: Final answer
    x = 1,442,935.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.