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Finding the Third Proportional to 225,010 and 328,628

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Solution

The third proportional to 225,010 and 328,628 is: 479,962.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,010 : 328,628 = 328,628 : x
  2. Step 2: Convert to fraction form
    225,010/328,628 = 328,628/x
  3. Step 3: Cross multiply
    225,010x = 328,628 × 328,628
  4. Step 4: Simplify right side
    225,010x = 107,996,362,384
  5. Step 5: Solve for x
    x = 107,996,362,384/225,010
  6. Step 6: Final answer
    x = 479,962.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.