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Finding the Third Proportional to 310.29 and 646.10

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Solution

The third proportional to 310.29 and 646.10 is: 1,345.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.29 : 646.10 = 646.10 : x
  2. Step 2: Convert to fraction form
    310.29/646.10 = 646.10/x
  3. Step 3: Cross multiply
    310.29x = 646.10 × 646.10
  4. Step 4: Simplify right side
    310.29x = 417,447.23
  5. Step 5: Solve for x
    x = 417,447.23/310.29
  6. Step 6: Final answer
    x = 1,345.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.