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Finding the Third Proportional to 450,470 and 606,753

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Solution

The third proportional to 450,470 and 606,753 is: 817,255.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,470 : 606,753 = 606,753 : x
  2. Step 2: Convert to fraction form
    450,470/606,753 = 606,753/x
  3. Step 3: Cross multiply
    450,470x = 606,753 × 606,753
  4. Step 4: Simplify right side
    450,470x = 368,149,203,009
  5. Step 5: Solve for x
    x = 368,149,203,009/450,470
  6. Step 6: Final answer
    x = 817,255.76

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.