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Finding the Third Proportional to 345,118 and 706,967

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Solution

The third proportional to 345,118 and 706,967 is: 1,448,207.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,118 : 706,967 = 706,967 : x
  2. Step 2: Convert to fraction form
    345,118/706,967 = 706,967/x
  3. Step 3: Cross multiply
    345,118x = 706,967 × 706,967
  4. Step 4: Simplify right side
    345,118x = 499,802,339,089
  5. Step 5: Solve for x
    x = 499,802,339,089/345,118
  6. Step 6: Final answer
    x = 1,448,207.10

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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.