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Finding the Third Proportional to 328,372 and 709,136

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Solution

The third proportional to 328,372 and 709,136 is: 1,531,415.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,372 : 709,136 = 709,136 : x
  2. Step 2: Convert to fraction form
    328,372/709,136 = 709,136/x
  3. Step 3: Cross multiply
    328,372x = 709,136 × 709,136
  4. Step 4: Simplify right side
    328,372x = 502,873,866,496
  5. Step 5: Solve for x
    x = 502,873,866,496/328,372
  6. Step 6: Final answer
    x = 1,531,415.18

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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.