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Finding the Third Proportional to 328,743 and 707,430

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Solution

The third proportional to 328,743 and 707,430 is: 1,522,335.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,743 : 707,430 = 707,430 : x
  2. Step 2: Convert to fraction form
    328,743/707,430 = 707,430/x
  3. Step 3: Cross multiply
    328,743x = 707,430 × 707,430
  4. Step 4: Simplify right side
    328,743x = 500,457,204,900
  5. Step 5: Solve for x
    x = 500,457,204,900/328,743
  6. Step 6: Final answer
    x = 1,522,335.70

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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.