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Finding the Third Proportional to 217,316 and 345,791

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Solution

The third proportional to 217,316 and 345,791 is: 550,219.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,316 : 345,791 = 345,791 : x
  2. Step 2: Convert to fraction form
    217,316/345,791 = 345,791/x
  3. Step 3: Cross multiply
    217,316x = 345,791 × 345,791
  4. Step 4: Simplify right side
    217,316x = 119,571,415,681
  5. Step 5: Solve for x
    x = 119,571,415,681/217,316
  6. Step 6: Final answer
    x = 550,219.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.