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Finding the Third Proportional to 328,432 and 710,839

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Solution

The third proportional to 328,432 and 710,839 is: 1,538,498.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,432 : 710,839 = 710,839 : x
  2. Step 2: Convert to fraction form
    328,432/710,839 = 710,839/x
  3. Step 3: Cross multiply
    328,432x = 710,839 × 710,839
  4. Step 4: Simplify right side
    328,432x = 505,292,083,921
  5. Step 5: Solve for x
    x = 505,292,083,921/328,432
  6. Step 6: Final answer
    x = 1,538,498.33

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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.