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Finding the Third Proportional to 307,818 and 661,630

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Solution

The third proportional to 307,818 and 661,630 is: 1,422,120.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,818 : 661,630 = 661,630 : x
  2. Step 2: Convert to fraction form
    307,818/661,630 = 661,630/x
  3. Step 3: Cross multiply
    307,818x = 661,630 × 661,630
  4. Step 4: Simplify right side
    307,818x = 437,754,256,900
  5. Step 5: Solve for x
    x = 437,754,256,900/307,818
  6. Step 6: Final answer
    x = 1,422,120.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.