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Finding the Third Proportional to 346,288 and 720,288

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Solution

The third proportional to 346,288 and 720,288 is: 1,498,217.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,288 : 720,288 = 720,288 : x
  2. Step 2: Convert to fraction form
    346,288/720,288 = 720,288/x
  3. Step 3: Cross multiply
    346,288x = 720,288 × 720,288
  4. Step 4: Simplify right side
    346,288x = 518,814,802,944
  5. Step 5: Solve for x
    x = 518,814,802,944/346,288
  6. Step 6: Final answer
    x = 1,498,217.68

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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.