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Finding the Third Proportional to 312,894.56 and 727,903.13

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Solution

The third proportional to 312,894.56 and 727,903.13 is: 1,693,359.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,894.56 : 727,903.13 = 727,903.13 : x
  2. Step 2: Convert to fraction form
    312,894.56/727,903.13 = 727,903.13/x
  3. Step 3: Cross multiply
    312,894.56x = 727,903.13 × 727,903.13
  4. Step 4: Simplify right side
    312,894.56x = 529,842,959,384.77
  5. Step 5: Solve for x
    x = 529,842,959,384.77/312,894.56
  6. Step 6: Final answer
    x = 1,693,359.43

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.