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Finding the Third Proportional to 354,798 and 521,802

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Solution

The third proportional to 354,798 and 521,802 is: 767,415.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,798 : 521,802 = 521,802 : x
  2. Step 2: Convert to fraction form
    354,798/521,802 = 521,802/x
  3. Step 3: Cross multiply
    354,798x = 521,802 × 521,802
  4. Step 4: Simplify right side
    354,798x = 272,277,327,204
  5. Step 5: Solve for x
    x = 272,277,327,204/354,798
  6. Step 6: Final answer
    x = 767,415.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.