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Finding the Third Proportional to 155,896 and 340,952

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Solution

The third proportional to 155,896 and 340,952 is: 745,678.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,896 : 340,952 = 340,952 : x
  2. Step 2: Convert to fraction form
    155,896/340,952 = 340,952/x
  3. Step 3: Cross multiply
    155,896x = 340,952 × 340,952
  4. Step 4: Simplify right side
    155,896x = 116,248,266,304
  5. Step 5: Solve for x
    x = 116,248,266,304/155,896
  6. Step 6: Final answer
    x = 745,678.31

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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.