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Finding the Third Proportional to 321,927.75 and 512,444.81

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Solution

The third proportional to 321,927.75 and 512,444.81 is: 815,710.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,927.75 : 512,444.81 = 512,444.81 : x
  2. Step 2: Convert to fraction form
    321,927.75/512,444.81 = 512,444.81/x
  3. Step 3: Cross multiply
    321,927.75x = 512,444.81 × 512,444.81
  4. Step 4: Simplify right side
    321,927.75x = 262,599,685,858.16
  5. Step 5: Solve for x
    x = 262,599,685,858.16/321,927.75
  6. Step 6: Final answer
    x = 815,710.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.