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Finding the Third Proportional to 415,550 and 909,921

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Solution

The third proportional to 415,550 and 909,921 is: 1,992,434.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,550 : 909,921 = 909,921 : x
  2. Step 2: Convert to fraction form
    415,550/909,921 = 909,921/x
  3. Step 3: Cross multiply
    415,550x = 909,921 × 909,921
  4. Step 4: Simplify right side
    415,550x = 827,956,226,241
  5. Step 5: Solve for x
    x = 827,956,226,241/415,550
  6. Step 6: Final answer
    x = 1,992,434.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.