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Finding the Third Proportional to 239,486.63 and 399,127.50

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Solution

The third proportional to 239,486.63 and 399,127.50 is: 665,184.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,486.63 : 399,127.50 = 399,127.50 : x
  2. Step 2: Convert to fraction form
    239,486.63/399,127.50 = 399,127.50/x
  3. Step 3: Cross multiply
    239,486.63x = 399,127.50 × 399,127.50
  4. Step 4: Simplify right side
    239,486.63x = 159,302,761,256.25
  5. Step 5: Solve for x
    x = 159,302,761,256.25/239,486.63
  6. Step 6: Final answer
    x = 665,184.38

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.