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Finding the Third Proportional to 457.88 and 689.63

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Solution

The third proportional to 457.88 and 689.63 is: 1,038.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.88 : 689.63 = 689.63 : x
  2. Step 2: Convert to fraction form
    457.88/689.63 = 689.63/x
  3. Step 3: Cross multiply
    457.88x = 689.63 × 689.63
  4. Step 4: Simplify right side
    457.88x = 475,582.64
  5. Step 5: Solve for x
    x = 475,582.64/457.88
  6. Step 6: Final answer
    x = 1,038.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.