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Finding the Third Proportional to 345,120 and 706,971

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Solution

The third proportional to 345,120 and 706,971 is: 1,448,215.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,120 : 706,971 = 706,971 : x
  2. Step 2: Convert to fraction form
    345,120/706,971 = 706,971/x
  3. Step 3: Cross multiply
    345,120x = 706,971 × 706,971
  4. Step 4: Simplify right side
    345,120x = 499,807,994,841
  5. Step 5: Solve for x
    x = 499,807,994,841/345,120
  6. Step 6: Final answer
    x = 1,448,215.10

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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.