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Finding the Third Proportional to 142.63 and 307.51

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Solution

The third proportional to 142.63 and 307.51 is: 662.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.63 : 307.51 = 307.51 : x
  2. Step 2: Convert to fraction form
    142.63/307.51 = 307.51/x
  3. Step 3: Cross multiply
    142.63x = 307.51 × 307.51
  4. Step 4: Simplify right side
    142.63x = 94,560.75
  5. Step 5: Solve for x
    x = 94,560.75/142.63
  6. Step 6: Final answer
    x = 662.96

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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.