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Finding the Third Proportional to 328,359 and 707,982

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Solution

The third proportional to 328,359 and 707,982 is: 1,526,495.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,359 : 707,982 = 707,982 : x
  2. Step 2: Convert to fraction form
    328,359/707,982 = 707,982/x
  3. Step 3: Cross multiply
    328,359x = 707,982 × 707,982
  4. Step 4: Simplify right side
    328,359x = 501,238,512,324
  5. Step 5: Solve for x
    x = 501,238,512,324/328,359
  6. Step 6: Final answer
    x = 1,526,495.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.