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Finding the Third Proportional to 317,371 and 661,046

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Solution

The third proportional to 317,371 and 661,046 is: 1,376,880.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,371 : 661,046 = 661,046 : x
  2. Step 2: Convert to fraction form
    317,371/661,046 = 661,046/x
  3. Step 3: Cross multiply
    317,371x = 661,046 × 661,046
  4. Step 4: Simplify right side
    317,371x = 436,981,814,116
  5. Step 5: Solve for x
    x = 436,981,814,116/317,371
  6. Step 6: Final answer
    x = 1,376,880.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.