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Finding the Third Proportional to 143,011.41 and 310,625.72

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Solution

The third proportional to 143,011.41 and 310,625.72 is: 674,689.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,011.41 : 310,625.72 = 310,625.72 : x
  2. Step 2: Convert to fraction form
    143,011.41/310,625.72 = 310,625.72/x
  3. Step 3: Cross multiply
    143,011.41x = 310,625.72 × 310,625.72
  4. Step 4: Simplify right side
    143,011.41x = 96,488,337,148.95
  5. Step 5: Solve for x
    x = 96,488,337,148.95/143,011.41
  6. Step 6: Final answer
    x = 674,689.80

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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.