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Finding the Third Proportional to 253,798 and 357,087

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Solution

The third proportional to 253,798 and 357,087 is: 502,411.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,798 : 357,087 = 357,087 : x
  2. Step 2: Convert to fraction form
    253,798/357,087 = 357,087/x
  3. Step 3: Cross multiply
    253,798x = 357,087 × 357,087
  4. Step 4: Simplify right side
    253,798x = 127,511,125,569
  5. Step 5: Solve for x
    x = 127,511,125,569/253,798
  6. Step 6: Final answer
    x = 502,411.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.