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Finding the Third Proportional to 307,901.25 and 490,312.13

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Solution

The third proportional to 307,901.25 and 490,312.13 is: 780,789.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,901.25 : 490,312.13 = 490,312.13 : x
  2. Step 2: Convert to fraction form
    307,901.25/490,312.13 = 490,312.13/x
  3. Step 3: Cross multiply
    307,901.25x = 490,312.13 × 490,312.13
  4. Step 4: Simplify right side
    307,901.25x = 240,405,979,922.02
  5. Step 5: Solve for x
    x = 240,405,979,922.02/307,901.25
  6. Step 6: Final answer
    x = 780,789.23

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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.