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Finding the Third Proportional to 163,628 and 257,088

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Solution

The third proportional to 163,628 and 257,088 is: 403,929.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,628 : 257,088 = 257,088 : x
  2. Step 2: Convert to fraction form
    163,628/257,088 = 257,088/x
  3. Step 3: Cross multiply
    163,628x = 257,088 × 257,088
  4. Step 4: Simplify right side
    163,628x = 66,094,239,744
  5. Step 5: Solve for x
    x = 66,094,239,744/163,628
  6. Step 6: Final answer
    x = 403,929.89

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.