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Finding the Third Proportional to 43,205 and 61,783

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Solution

The third proportional to 43,205 and 61,783 is: 88,349.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,205 : 61,783 = 61,783 : x
  2. Step 2: Convert to fraction form
    43,205/61,783 = 61,783/x
  3. Step 3: Cross multiply
    43,205x = 61,783 × 61,783
  4. Step 4: Simplify right side
    43,205x = 3,817,139,089
  5. Step 5: Solve for x
    x = 3,817,139,089/43,205
  6. Step 6: Final answer
    x = 88,349.48

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.