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Finding the Third Proportional to 328,040 and 705,532

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Solution

The third proportional to 328,040 and 705,532 is: 1,517,422.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,040 : 705,532 = 705,532 : x
  2. Step 2: Convert to fraction form
    328,040/705,532 = 705,532/x
  3. Step 3: Cross multiply
    328,040x = 705,532 × 705,532
  4. Step 4: Simplify right side
    328,040x = 497,775,403,024
  5. Step 5: Solve for x
    x = 497,775,403,024/328,040
  6. Step 6: Final answer
    x = 1,517,422.88

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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.