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Finding the Third Proportional to 317,210 and 485,862

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Solution

The third proportional to 317,210 and 485,862 is: 744,181.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,210 : 485,862 = 485,862 : x
  2. Step 2: Convert to fraction form
    317,210/485,862 = 485,862/x
  3. Step 3: Cross multiply
    317,210x = 485,862 × 485,862
  4. Step 4: Simplify right side
    317,210x = 236,061,883,044
  5. Step 5: Solve for x
    x = 236,061,883,044/317,210
  6. Step 6: Final answer
    x = 744,181.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.