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Finding the Third Proportional to 319,888 and 679,136

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Solution

The third proportional to 319,888 and 679,136 is: 1,441,834.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,888 : 679,136 = 679,136 : x
  2. Step 2: Convert to fraction form
    319,888/679,136 = 679,136/x
  3. Step 3: Cross multiply
    319,888x = 679,136 × 679,136
  4. Step 4: Simplify right side
    319,888x = 461,225,706,496
  5. Step 5: Solve for x
    x = 461,225,706,496/319,888
  6. Step 6: Final answer
    x = 1,441,834.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.