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Finding the Third Proportional to 346,652 and 720,520

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Solution

The third proportional to 346,652 and 720,520 is: 1,497,608.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,652 : 720,520 = 720,520 : x
  2. Step 2: Convert to fraction form
    346,652/720,520 = 720,520/x
  3. Step 3: Cross multiply
    346,652x = 720,520 × 720,520
  4. Step 4: Simplify right side
    346,652x = 519,149,070,400
  5. Step 5: Solve for x
    x = 519,149,070,400/346,652
  6. Step 6: Final answer
    x = 1,497,608.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.