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Finding the Third Proportional to 345,136 and 706,992

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Solution

The third proportional to 345,136 and 706,992 is: 1,448,233.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,136 : 706,992 = 706,992 : x
  2. Step 2: Convert to fraction form
    345,136/706,992 = 706,992/x
  3. Step 3: Cross multiply
    345,136x = 706,992 × 706,992
  4. Step 4: Simplify right side
    345,136x = 499,837,688,064
  5. Step 5: Solve for x
    x = 499,837,688,064/345,136
  6. Step 6: Final answer
    x = 1,448,233.99

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.