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Finding the Third Proportional to 679,629 and 1,079,712

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Solution

The third proportional to 679,629 and 1,079,712 is: 1,715,315.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,629 : 1,079,712 = 1,079,712 : x
  2. Step 2: Convert to fraction form
    679,629/1,079,712 = 1,079,712/x
  3. Step 3: Cross multiply
    679,629x = 1,079,712 × 1,079,712
  4. Step 4: Simplify right side
    679,629x = 1,165,778,002,944
  5. Step 5: Solve for x
    x = 1,165,778,002,944/679,629
  6. Step 6: Final answer
    x = 1,715,315.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.