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Finding the Third Proportional to 143,878.50 and 316,309.50

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Solution

The third proportional to 143,878.50 and 316,309.50 is: 695,390.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,878.50 : 316,309.50 = 316,309.50 : x
  2. Step 2: Convert to fraction form
    143,878.50/316,309.50 = 316,309.50/x
  3. Step 3: Cross multiply
    143,878.50x = 316,309.50 × 316,309.50
  4. Step 4: Simplify right side
    143,878.50x = 100,051,699,790.25
  5. Step 5: Solve for x
    x = 100,051,699,790.25/143,878.50
  6. Step 6: Final answer
    x = 695,390.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.