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Finding the Third Proportional to 310,736.25 and 470,305.13

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Solution

The third proportional to 310,736.25 and 470,305.13 is: 711,815.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,736.25 : 470,305.13 = 470,305.13 : x
  2. Step 2: Convert to fraction form
    310,736.25/470,305.13 = 470,305.13/x
  3. Step 3: Cross multiply
    310,736.25x = 470,305.13 × 470,305.13
  4. Step 4: Simplify right side
    310,736.25x = 221,186,910,601.27
  5. Step 5: Solve for x
    x = 221,186,910,601.27/310,736.25
  6. Step 6: Final answer
    x = 711,815.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.