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Finding the Third Proportional to 155,905 and 340,970

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Solution

The third proportional to 155,905 and 340,970 is: 745,714.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,905 : 340,970 = 340,970 : x
  2. Step 2: Convert to fraction form
    155,905/340,970 = 340,970/x
  3. Step 3: Cross multiply
    155,905x = 340,970 × 340,970
  4. Step 4: Simplify right side
    155,905x = 116,260,540,900
  5. Step 5: Solve for x
    x = 116,260,540,900/155,905
  6. Step 6: Final answer
    x = 745,714.00

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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.