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Finding the Third Proportional to 225,485 and 356,780

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Solution

The third proportional to 225,485 and 356,780 is: 564,525.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,485 : 356,780 = 356,780 : x
  2. Step 2: Convert to fraction form
    225,485/356,780 = 356,780/x
  3. Step 3: Cross multiply
    225,485x = 356,780 × 356,780
  4. Step 4: Simplify right side
    225,485x = 127,291,968,400
  5. Step 5: Solve for x
    x = 127,291,968,400/225,485
  6. Step 6: Final answer
    x = 564,525.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.