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Finding the Third Proportional to 309,127.32 and 672,690.45

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Solution

The third proportional to 309,127.32 and 672,690.45 is: 1,463,838.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,127.32 : 672,690.45 = 672,690.45 : x
  2. Step 2: Convert to fraction form
    309,127.32/672,690.45 = 672,690.45/x
  3. Step 3: Cross multiply
    309,127.32x = 672,690.45 × 672,690.45
  4. Step 4: Simplify right side
    309,127.32x = 452,512,435,214.73
  5. Step 5: Solve for x
    x = 452,512,435,214.73/309,127.32
  6. Step 6: Final answer
    x = 1,463,838.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.