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Finding the Third Proportional to 328,936 and 708,628

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Solution

The third proportional to 328,936 and 708,628 is: 1,526,599.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,936 : 708,628 = 708,628 : x
  2. Step 2: Convert to fraction form
    328,936/708,628 = 708,628/x
  3. Step 3: Cross multiply
    328,936x = 708,628 × 708,628
  4. Step 4: Simplify right side
    328,936x = 502,153,642,384
  5. Step 5: Solve for x
    x = 502,153,642,384/328,936
  6. Step 6: Final answer
    x = 1,526,599.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.