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Finding the Third Proportional to 448,584.75 and 666,397.13

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Solution

The third proportional to 448,584.75 and 666,397.13 is: 989,969.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,584.75 : 666,397.13 = 666,397.13 : x
  2. Step 2: Convert to fraction form
    448,584.75/666,397.13 = 666,397.13/x
  3. Step 3: Cross multiply
    448,584.75x = 666,397.13 × 666,397.13
  4. Step 4: Simplify right side
    448,584.75x = 444,085,128,208.27
  5. Step 5: Solve for x
    x = 444,085,128,208.27/448,584.75
  6. Step 6: Final answer
    x = 989,969.29

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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.