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Finding the Third Proportional to 155,853 and 340,865

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Solution

The third proportional to 155,853 and 340,865 is: 745,503.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,853 : 340,865 = 340,865 : x
  2. Step 2: Convert to fraction form
    155,853/340,865 = 340,865/x
  3. Step 3: Cross multiply
    155,853x = 340,865 × 340,865
  4. Step 4: Simplify right side
    155,853x = 116,188,948,225
  5. Step 5: Solve for x
    x = 116,188,948,225/155,853
  6. Step 6: Final answer
    x = 745,503.44

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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.