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Finding the Third Proportional to 448,407.75 and 680,915.25

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Solution

The third proportional to 448,407.75 and 680,915.25 is: 1,033,982.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,407.75 : 680,915.25 = 680,915.25 : x
  2. Step 2: Convert to fraction form
    448,407.75/680,915.25 = 680,915.25/x
  3. Step 3: Cross multiply
    448,407.75x = 680,915.25 × 680,915.25
  4. Step 4: Simplify right side
    448,407.75x = 463,645,577,682.56
  5. Step 5: Solve for x
    x = 463,645,577,682.56/448,407.75
  6. Step 6: Final answer
    x = 1,033,982.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.