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Finding the Third Proportional to 310,969.13 and 644,078.25

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Solution

The third proportional to 310,969.13 and 644,078.25 is: 1,334,012.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,969.13 : 644,078.25 = 644,078.25 : x
  2. Step 2: Convert to fraction form
    310,969.13/644,078.25 = 644,078.25/x
  3. Step 3: Cross multiply
    310,969.13x = 644,078.25 × 644,078.25
  4. Step 4: Simplify right side
    310,969.13x = 414,836,792,123.06
  5. Step 5: Solve for x
    x = 414,836,792,123.06/310,969.13
  6. Step 6: Final answer
    x = 1,334,012.80

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.