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Finding the Third Proportional to 430,600 and 672,060

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Solution

The third proportional to 430,600 and 672,060 is: 1,048,919.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,600 : 672,060 = 672,060 : x
  2. Step 2: Convert to fraction form
    430,600/672,060 = 672,060/x
  3. Step 3: Cross multiply
    430,600x = 672,060 × 672,060
  4. Step 4: Simplify right side
    430,600x = 451,664,643,600
  5. Step 5: Solve for x
    x = 451,664,643,600/430,600
  6. Step 6: Final answer
    x = 1,048,919.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.