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Finding the Third Proportional to 472.50 and 689.63

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Solution

The third proportional to 472.50 and 689.63 is: 1,006.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.50 : 689.63 = 689.63 : x
  2. Step 2: Convert to fraction form
    472.50/689.63 = 689.63/x
  3. Step 3: Cross multiply
    472.50x = 689.63 × 689.63
  4. Step 4: Simplify right side
    472.50x = 475,582.64
  5. Step 5: Solve for x
    x = 475,582.64/472.50
  6. Step 6: Final answer
    x = 1,006.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.