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Finding the Third Proportional to 455,331 and 668,234.25

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Solution

The third proportional to 455,331 and 668,234.25 is: 980,686.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,331 : 668,234.25 = 668,234.25 : x
  2. Step 2: Convert to fraction form
    455,331/668,234.25 = 668,234.25/x
  3. Step 3: Cross multiply
    455,331x = 668,234.25 × 668,234.25
  4. Step 4: Simplify right side
    455,331x = 446,537,012,873.06
  5. Step 5: Solve for x
    x = 446,537,012,873.06/455,331
  6. Step 6: Final answer
    x = 980,686.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.