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Finding the Third Proportional to 309,141.56 and 671,157.56

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Solution

The third proportional to 309,141.56 and 671,157.56 is: 1,457,107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,141.56 : 671,157.56 = 671,157.56 : x
  2. Step 2: Convert to fraction form
    309,141.56/671,157.56 = 671,157.56/x
  3. Step 3: Cross multiply
    309,141.56x = 671,157.56 × 671,157.56
  4. Step 4: Simplify right side
    309,141.56x = 450,452,473,700.94
  5. Step 5: Solve for x
    x = 450,452,473,700.94/309,141.56
  6. Step 6: Final answer
    x = 1,457,107.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.