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Finding the Third Proportional to 164,128 and 257,640

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Solution

The third proportional to 164,128 and 257,640 is: 404,430.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,128 : 257,640 = 257,640 : x
  2. Step 2: Convert to fraction form
    164,128/257,640 = 257,640/x
  3. Step 3: Cross multiply
    164,128x = 257,640 × 257,640
  4. Step 4: Simplify right side
    164,128x = 66,378,369,600
  5. Step 5: Solve for x
    x = 66,378,369,600/164,128
  6. Step 6: Final answer
    x = 404,430.50

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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.