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Finding the Third Proportional to 511,670 and 715,707

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Solution

The third proportional to 511,670 and 715,707 is: 1,001,107.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,670 : 715,707 = 715,707 : x
  2. Step 2: Convert to fraction form
    511,670/715,707 = 715,707/x
  3. Step 3: Cross multiply
    511,670x = 715,707 × 715,707
  4. Step 4: Simplify right side
    511,670x = 512,236,509,849
  5. Step 5: Solve for x
    x = 512,236,509,849/511,670
  6. Step 6: Final answer
    x = 1,001,107.18

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.