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Finding the Third Proportional to 427.71 and 647.93

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Solution

The third proportional to 427.71 and 647.93 is: 981.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.71 : 647.93 = 647.93 : x
  2. Step 2: Convert to fraction form
    427.71/647.93 = 647.93/x
  3. Step 3: Cross multiply
    427.71x = 647.93 × 647.93
  4. Step 4: Simplify right side
    427.71x = 419,812.88
  5. Step 5: Solve for x
    x = 419,812.88/427.71
  6. Step 6: Final answer
    x = 981.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.