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Finding the Third Proportional to 328,796 and 706,730

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Solution

The third proportional to 328,796 and 706,730 is: 1,519,079.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,796 : 706,730 = 706,730 : x
  2. Step 2: Convert to fraction form
    328,796/706,730 = 706,730/x
  3. Step 3: Cross multiply
    328,796x = 706,730 × 706,730
  4. Step 4: Simplify right side
    328,796x = 499,467,292,900
  5. Step 5: Solve for x
    x = 499,467,292,900/328,796
  6. Step 6: Final answer
    x = 1,519,079.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.