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Finding the Third Proportional to 315.47 and 646.69

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Solution

The third proportional to 315.47 and 646.69 is: 1,325.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.47 : 646.69 = 646.69 : x
  2. Step 2: Convert to fraction form
    315.47/646.69 = 646.69/x
  3. Step 3: Cross multiply
    315.47x = 646.69 × 646.69
  4. Step 4: Simplify right side
    315.47x = 418,208.51
  5. Step 5: Solve for x
    x = 418,208.51/315.47
  6. Step 6: Final answer
    x = 1,325.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.