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Finding the Third Proportional to 317,090 and 464,259

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Solution

The third proportional to 317,090 and 464,259 is: 679,732.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,090 : 464,259 = 464,259 : x
  2. Step 2: Convert to fraction form
    317,090/464,259 = 464,259/x
  3. Step 3: Cross multiply
    317,090x = 464,259 × 464,259
  4. Step 4: Simplify right side
    317,090x = 215,536,419,081
  5. Step 5: Solve for x
    x = 215,536,419,081/317,090
  6. Step 6: Final answer
    x = 679,732.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.