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Finding the Third Proportional to 317,370 and 661,044

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Solution

The third proportional to 317,370 and 661,044 is: 1,376,876.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,370 : 661,044 = 661,044 : x
  2. Step 2: Convert to fraction form
    317,370/661,044 = 661,044/x
  3. Step 3: Cross multiply
    317,370x = 661,044 × 661,044
  4. Step 4: Simplify right side
    317,370x = 436,979,169,936
  5. Step 5: Solve for x
    x = 436,979,169,936/317,370
  6. Step 6: Final answer
    x = 1,376,876.11

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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.