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Finding the Third Proportional to 145,802 and 218,703

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Solution

The third proportional to 145,802 and 218,703 is: 328,054.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,802 : 218,703 = 218,703 : x
  2. Step 2: Convert to fraction form
    145,802/218,703 = 218,703/x
  3. Step 3: Cross multiply
    145,802x = 218,703 × 218,703
  4. Step 4: Simplify right side
    145,802x = 47,831,002,209
  5. Step 5: Solve for x
    x = 47,831,002,209/145,802
  6. Step 6: Final answer
    x = 328,054.50

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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.