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Finding the Third Proportional to 328,376 and 709,142

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Solution

The third proportional to 328,376 and 709,142 is: 1,531,422.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,376 : 709,142 = 709,142 : x
  2. Step 2: Convert to fraction form
    328,376/709,142 = 709,142/x
  3. Step 3: Cross multiply
    328,376x = 709,142 × 709,142
  4. Step 4: Simplify right side
    328,376x = 502,882,376,164
  5. Step 5: Solve for x
    x = 502,882,376,164/328,376
  6. Step 6: Final answer
    x = 1,531,422.44

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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.