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Finding the Third Proportional to 345,116 and 706,963

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Solution

The third proportional to 345,116 and 706,963 is: 1,448,199.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,116 : 706,963 = 706,963 : x
  2. Step 2: Convert to fraction form
    345,116/706,963 = 706,963/x
  3. Step 3: Cross multiply
    345,116x = 706,963 × 706,963
  4. Step 4: Simplify right side
    345,116x = 499,796,683,369
  5. Step 5: Solve for x
    x = 499,796,683,369/345,116
  6. Step 6: Final answer
    x = 1,448,199.11

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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.