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Finding the Third Proportional to 145,905 and 218,856

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Solution

The third proportional to 145,905 and 218,856 is: 328,281.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,905 : 218,856 = 218,856 : x
  2. Step 2: Convert to fraction form
    145,905/218,856 = 218,856/x
  3. Step 3: Cross multiply
    145,905x = 218,856 × 218,856
  4. Step 4: Simplify right side
    145,905x = 47,897,948,736
  5. Step 5: Solve for x
    x = 47,897,948,736/145,905
  6. Step 6: Final answer
    x = 328,281.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.