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Finding the Third Proportional to 143,871.19 and 302,656.50

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Solution

The third proportional to 143,871.19 and 302,656.50 is: 636,687.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,871.19 : 302,656.50 = 302,656.50 : x
  2. Step 2: Convert to fraction form
    143,871.19/302,656.50 = 302,656.50/x
  3. Step 3: Cross multiply
    143,871.19x = 302,656.50 × 302,656.50
  4. Step 4: Simplify right side
    143,871.19x = 91,600,956,992.25
  5. Step 5: Solve for x
    x = 91,600,956,992.25/143,871.19
  6. Step 6: Final answer
    x = 636,687.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.