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Finding the Third Proportional to 187,871.63 and 415,109.25

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Solution

The third proportional to 187,871.63 and 415,109.25 is: 917,199.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,871.63 : 415,109.25 = 415,109.25 : x
  2. Step 2: Convert to fraction form
    187,871.63/415,109.25 = 415,109.25/x
  3. Step 3: Cross multiply
    187,871.63x = 415,109.25 × 415,109.25
  4. Step 4: Simplify right side
    187,871.63x = 172,315,689,435.56
  5. Step 5: Solve for x
    x = 172,315,689,435.56/187,871.63
  6. Step 6: Final answer
    x = 917,199.12

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.