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Finding the Third Proportional to 415,390 and 900,764

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Solution

The third proportional to 415,390 and 900,764 is: 1,953,286.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,390 : 900,764 = 900,764 : x
  2. Step 2: Convert to fraction form
    415,390/900,764 = 900,764/x
  3. Step 3: Cross multiply
    415,390x = 900,764 × 900,764
  4. Step 4: Simplify right side
    415,390x = 811,375,783,696
  5. Step 5: Solve for x
    x = 811,375,783,696/415,390
  6. Step 6: Final answer
    x = 1,953,286.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.