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Finding the Third Proportional to 145.29 and 316.21

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Solution

The third proportional to 145.29 and 316.21 is: 688.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.29 : 316.21 = 316.21 : x
  2. Step 2: Convert to fraction form
    145.29/316.21 = 316.21/x
  3. Step 3: Cross multiply
    145.29x = 316.21 × 316.21
  4. Step 4: Simplify right side
    145.29x = 99,987.81
  5. Step 5: Solve for x
    x = 99,987.81/145.29
  6. Step 6: Final answer
    x = 688.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.