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Finding the Third Proportional to 310,004 and 633,128

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Solution

The third proportional to 310,004 and 633,128 is: 1,293,051.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,004 : 633,128 = 633,128 : x
  2. Step 2: Convert to fraction form
    310,004/633,128 = 633,128/x
  3. Step 3: Cross multiply
    310,004x = 633,128 × 633,128
  4. Step 4: Simplify right side
    310,004x = 400,851,064,384
  5. Step 5: Solve for x
    x = 400,851,064,384/310,004
  6. Step 6: Final answer
    x = 1,293,051.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.