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Finding the Third Proportional to 317,080.83 and 490,759.38

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Solution

The third proportional to 317,080.83 and 490,759.38 is: 759,569.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,080.83 : 490,759.38 = 490,759.38 : x
  2. Step 2: Convert to fraction form
    317,080.83/490,759.38 = 490,759.38/x
  3. Step 3: Cross multiply
    317,080.83x = 490,759.38 × 490,759.38
  4. Step 4: Simplify right side
    317,080.83x = 240,844,771,818.51
  5. Step 5: Solve for x
    x = 240,844,771,818.51/317,080.83
  6. Step 6: Final answer
    x = 759,569.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.