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Finding the Third Proportional to 448,402.50 and 666,218.25

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Solution

The third proportional to 448,402.50 and 666,218.25 is: 989,840.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,402.50 : 666,218.25 = 666,218.25 : x
  2. Step 2: Convert to fraction form
    448,402.50/666,218.25 = 666,218.25/x
  3. Step 3: Cross multiply
    448,402.50x = 666,218.25 × 666,218.25
  4. Step 4: Simplify right side
    448,402.50x = 443,846,756,633.06
  5. Step 5: Solve for x
    x = 443,846,756,633.06/448,402.50
  6. Step 6: Final answer
    x = 989,840.06

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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.