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Finding the Third Proportional to 328,979 and 497,053

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Solution

The third proportional to 328,979 and 497,053 is: 750,995.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,979 : 497,053 = 497,053 : x
  2. Step 2: Convert to fraction form
    328,979/497,053 = 497,053/x
  3. Step 3: Cross multiply
    328,979x = 497,053 × 497,053
  4. Step 4: Simplify right side
    328,979x = 247,061,684,809
  5. Step 5: Solve for x
    x = 247,061,684,809/328,979
  6. Step 6: Final answer
    x = 750,995.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.