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Finding the Third Proportional to 155,865 and 340,896

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Solution

The third proportional to 155,865 and 340,896 is: 745,581.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,865 : 340,896 = 340,896 : x
  2. Step 2: Convert to fraction form
    155,865/340,896 = 340,896/x
  3. Step 3: Cross multiply
    155,865x = 340,896 × 340,896
  4. Step 4: Simplify right side
    155,865x = 116,210,082,816
  5. Step 5: Solve for x
    x = 116,210,082,816/155,865
  6. Step 6: Final answer
    x = 745,581.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.