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Finding the Third Proportional to 414,798 and 641,637

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Solution

The third proportional to 414,798 and 641,637 is: 992,526.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,798 : 641,637 = 641,637 : x
  2. Step 2: Convert to fraction form
    414,798/641,637 = 641,637/x
  3. Step 3: Cross multiply
    414,798x = 641,637 × 641,637
  4. Step 4: Simplify right side
    414,798x = 411,698,039,769
  5. Step 5: Solve for x
    x = 411,698,039,769/414,798
  6. Step 6: Final answer
    x = 992,526.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.