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Finding the Third Proportional to 306,560.81 and 672,170.63

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Solution

The third proportional to 306,560.81 and 672,170.63 is: 1,473,813.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,560.81 : 672,170.63 = 672,170.63 : x
  2. Step 2: Convert to fraction form
    306,560.81/672,170.63 = 672,170.63/x
  3. Step 3: Cross multiply
    306,560.81x = 672,170.63 × 672,170.63
  4. Step 4: Simplify right side
    306,560.81x = 451,813,349,112.89
  5. Step 5: Solve for x
    x = 451,813,349,112.89/306,560.81
  6. Step 6: Final answer
    x = 1,473,813.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.