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Finding the Third Proportional to 317,574 and 661,284

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Solution

The third proportional to 317,574 and 661,284 is: 1,376,990.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,574 : 661,284 = 661,284 : x
  2. Step 2: Convert to fraction form
    317,574/661,284 = 661,284/x
  3. Step 3: Cross multiply
    317,574x = 661,284 × 661,284
  4. Step 4: Simplify right side
    317,574x = 437,296,528,656
  5. Step 5: Solve for x
    x = 437,296,528,656/317,574
  6. Step 6: Final answer
    x = 1,376,990.96

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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.