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Finding the Third Proportional to 289.50 and 457.63

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Solution

The third proportional to 289.50 and 457.63 is: 723.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.50 : 457.63 = 457.63 : x
  2. Step 2: Convert to fraction form
    289.50/457.63 = 457.63/x
  3. Step 3: Cross multiply
    289.50x = 457.63 × 457.63
  4. Step 4: Simplify right side
    289.50x = 209,420.64
  5. Step 5: Solve for x
    x = 209,420.64/289.50
  6. Step 6: Final answer
    x = 723.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.