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Finding the Third Proportional to 336,779 and 715,072

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Solution

The third proportional to 336,779 and 715,072 is: 1,518,289.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,779 : 715,072 = 715,072 : x
  2. Step 2: Convert to fraction form
    336,779/715,072 = 715,072/x
  3. Step 3: Cross multiply
    336,779x = 715,072 × 715,072
  4. Step 4: Simplify right side
    336,779x = 511,327,965,184
  5. Step 5: Solve for x
    x = 511,327,965,184/336,779
  6. Step 6: Final answer
    x = 1,518,289.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.