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Finding the Third Proportional to 448,512 and 747,492

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Solution

The third proportional to 448,512 and 747,492 is: 1,245,773.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,512 : 747,492 = 747,492 : x
  2. Step 2: Convert to fraction form
    448,512/747,492 = 747,492/x
  3. Step 3: Cross multiply
    448,512x = 747,492 × 747,492
  4. Step 4: Simplify right side
    448,512x = 558,744,290,064
  5. Step 5: Solve for x
    x = 558,744,290,064/448,512
  6. Step 6: Final answer
    x = 1,245,773.34

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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.