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Finding the Third Proportional to 334,728 and 512,780

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Solution

The third proportional to 334,728 and 512,780 is: 785,543.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,728 : 512,780 = 512,780 : x
  2. Step 2: Convert to fraction form
    334,728/512,780 = 512,780/x
  3. Step 3: Cross multiply
    334,728x = 512,780 × 512,780
  4. Step 4: Simplify right side
    334,728x = 262,943,328,400
  5. Step 5: Solve for x
    x = 262,943,328,400/334,728
  6. Step 6: Final answer
    x = 785,543.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.