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Finding the Third Proportional to 145,853 and 218,783

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Solution

The third proportional to 145,853 and 218,783 is: 328,179.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,853 : 218,783 = 218,783 : x
  2. Step 2: Convert to fraction form
    145,853/218,783 = 218,783/x
  3. Step 3: Cross multiply
    145,853x = 218,783 × 218,783
  4. Step 4: Simplify right side
    145,853x = 47,866,001,089
  5. Step 5: Solve for x
    x = 47,866,001,089/145,853
  6. Step 6: Final answer
    x = 328,179.75

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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.