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Finding the Third Proportional to 145.13 and 315.56

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Solution

The third proportional to 145.13 and 315.56 is: 686.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.13 : 315.56 = 315.56 : x
  2. Step 2: Convert to fraction form
    145.13/315.56 = 315.56/x
  3. Step 3: Cross multiply
    145.13x = 315.56 × 315.56
  4. Step 4: Simplify right side
    145.13x = 99,579.69
  5. Step 5: Solve for x
    x = 99,579.69/145.13
  6. Step 6: Final answer
    x = 686.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.