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Finding the Third Proportional to 85,578 and 133,033

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Solution

The third proportional to 85,578 and 133,033 is: 206,802.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,578 : 133,033 = 133,033 : x
  2. Step 2: Convert to fraction form
    85,578/133,033 = 133,033/x
  3. Step 3: Cross multiply
    85,578x = 133,033 × 133,033
  4. Step 4: Simplify right side
    85,578x = 17,697,779,089
  5. Step 5: Solve for x
    x = 17,697,779,089/85,578
  6. Step 6: Final answer
    x = 206,802.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.