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Finding the Third Proportional to 225,487 and 356,783

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Solution

The third proportional to 225,487 and 356,783 is: 564,529.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,487 : 356,783 = 356,783 : x
  2. Step 2: Convert to fraction form
    225,487/356,783 = 356,783/x
  3. Step 3: Cross multiply
    225,487x = 356,783 × 356,783
  4. Step 4: Simplify right side
    225,487x = 127,294,109,089
  5. Step 5: Solve for x
    x = 127,294,109,089/225,487
  6. Step 6: Final answer
    x = 564,529.70

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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.