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Finding the Third Proportional to 348,500 and 512,538

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Solution

The third proportional to 348,500 and 512,538 is: 753,788.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,500 : 512,538 = 512,538 : x
  2. Step 2: Convert to fraction form
    348,500/512,538 = 512,538/x
  3. Step 3: Cross multiply
    348,500x = 512,538 × 512,538
  4. Step 4: Simplify right side
    348,500x = 262,695,201,444
  5. Step 5: Solve for x
    x = 262,695,201,444/348,500
  6. Step 6: Final answer
    x = 753,788.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.