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Finding the Third Proportional to 164,628 and 253,783

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Solution

The third proportional to 164,628 and 253,783 is: 391,220.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,628 : 253,783 = 253,783 : x
  2. Step 2: Convert to fraction form
    164,628/253,783 = 253,783/x
  3. Step 3: Cross multiply
    164,628x = 253,783 × 253,783
  4. Step 4: Simplify right side
    164,628x = 64,405,811,089
  5. Step 5: Solve for x
    x = 64,405,811,089/164,628
  6. Step 6: Final answer
    x = 391,220.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.