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Finding the Third Proportional to 317,748 and 490,716

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Solution

The third proportional to 317,748 and 490,716 is: 757,840.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,748 : 490,716 = 490,716 : x
  2. Step 2: Convert to fraction form
    317,748/490,716 = 490,716/x
  3. Step 3: Cross multiply
    317,748x = 490,716 × 490,716
  4. Step 4: Simplify right side
    317,748x = 240,802,192,656
  5. Step 5: Solve for x
    x = 240,802,192,656/317,748
  6. Step 6: Final answer
    x = 757,840.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.