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Finding the Third Proportional to 418,779 and 872,955

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Solution

The third proportional to 418,779 and 872,955 is: 1,819,695.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,779 : 872,955 = 872,955 : x
  2. Step 2: Convert to fraction form
    418,779/872,955 = 872,955/x
  3. Step 3: Cross multiply
    418,779x = 872,955 × 872,955
  4. Step 4: Simplify right side
    418,779x = 762,050,432,025
  5. Step 5: Solve for x
    x = 762,050,432,025/418,779
  6. Step 6: Final answer
    x = 1,819,695.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.