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Finding the Third Proportional to 145,654 and 219,817

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Solution

The third proportional to 145,654 and 219,817 is: 331,741.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,654 : 219,817 = 219,817 : x
  2. Step 2: Convert to fraction form
    145,654/219,817 = 219,817/x
  3. Step 3: Cross multiply
    145,654x = 219,817 × 219,817
  4. Step 4: Simplify right side
    145,654x = 48,319,513,489
  5. Step 5: Solve for x
    x = 48,319,513,489/145,654
  6. Step 6: Final answer
    x = 331,741.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.