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Finding the Third Proportional to 636,798 and 940,617

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Solution

The third proportional to 636,798 and 940,617 is: 1,389,389.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,798 : 940,617 = 940,617 : x
  2. Step 2: Convert to fraction form
    636,798/940,617 = 940,617/x
  3. Step 3: Cross multiply
    636,798x = 940,617 × 940,617
  4. Step 4: Simplify right side
    636,798x = 884,760,340,689
  5. Step 5: Solve for x
    x = 884,760,340,689/636,798
  6. Step 6: Final answer
    x = 1,389,389.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.