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Finding the Third Proportional to 777.47 and 1,680.28

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Solution

The third proportional to 777.47 and 1,680.28 is: 3,631.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.47 : 1,680.28 = 1,680.28 : x
  2. Step 2: Convert to fraction form
    777.47/1,680.28 = 1,680.28/x
  3. Step 3: Cross multiply
    777.47x = 1,680.28 × 1,680.28
  4. Step 4: Simplify right side
    777.47x = 2,823,345.08
  5. Step 5: Solve for x
    x = 2,823,345.08/777.47
  6. Step 6: Final answer
    x = 3,631.46

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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.