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Finding the Third Proportional to 460.25 and 688.63

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Solution

The third proportional to 460.25 and 688.63 is: 1,030.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.25 : 688.63 = 688.63 : x
  2. Step 2: Convert to fraction form
    460.25/688.63 = 688.63/x
  3. Step 3: Cross multiply
    460.25x = 688.63 × 688.63
  4. Step 4: Simplify right side
    460.25x = 474,204.39
  5. Step 5: Solve for x
    x = 474,204.39/460.25
  6. Step 6: Final answer
    x = 1,030.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.