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Finding the Third Proportional to 435,282 and 665,802

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Solution

The third proportional to 435,282 and 665,802 is: 1,018,402.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,282 : 665,802 = 665,802 : x
  2. Step 2: Convert to fraction form
    435,282/665,802 = 665,802/x
  3. Step 3: Cross multiply
    435,282x = 665,802 × 665,802
  4. Step 4: Simplify right side
    435,282x = 443,292,303,204
  5. Step 5: Solve for x
    x = 443,292,303,204/435,282
  6. Step 6: Final answer
    x = 1,018,402.56

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.