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Finding the Third Proportional to 458,808 and 991,416

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Solution

The third proportional to 458,808 and 991,416 is: 2,142,302.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,808 : 991,416 = 991,416 : x
  2. Step 2: Convert to fraction form
    458,808/991,416 = 991,416/x
  3. Step 3: Cross multiply
    458,808x = 991,416 × 991,416
  4. Step 4: Simplify right side
    458,808x = 982,905,685,056
  5. Step 5: Solve for x
    x = 982,905,685,056/458,808
  6. Step 6: Final answer
    x = 2,142,302.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.