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Finding the Third Proportional to 78,213 and 165,033

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Solution

The third proportional to 78,213 and 165,033 is: 348,227.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,213 : 165,033 = 165,033 : x
  2. Step 2: Convert to fraction form
    78,213/165,033 = 165,033/x
  3. Step 3: Cross multiply
    78,213x = 165,033 × 165,033
  4. Step 4: Simplify right side
    78,213x = 27,235,891,089
  5. Step 5: Solve for x
    x = 27,235,891,089/78,213
  6. Step 6: Final answer
    x = 348,227.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.