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Finding the Third Proportional to 448,392.38 and 666,203.06

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Solution

The third proportional to 448,392.38 and 666,203.06 is: 989,817.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,392.38 : 666,203.06 = 666,203.06 : x
  2. Step 2: Convert to fraction form
    448,392.38/666,203.06 = 666,203.06/x
  3. Step 3: Cross multiply
    448,392.38x = 666,203.06 × 666,203.06
  4. Step 4: Simplify right side
    448,392.38x = 443,826,520,484.38
  5. Step 5: Solve for x
    x = 443,826,520,484.38/448,392.38
  6. Step 6: Final answer
    x = 989,817.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.