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Finding the Third Proportional to 77,166.50 and 102,417

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Solution

The third proportional to 77,166.50 and 102,417 is: 135,929.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,166.50 : 102,417 = 102,417 : x
  2. Step 2: Convert to fraction form
    77,166.50/102,417 = 102,417/x
  3. Step 3: Cross multiply
    77,166.50x = 102,417 × 102,417
  4. Step 4: Simplify right side
    77,166.50x = 10,489,241,889
  5. Step 5: Solve for x
    x = 10,489,241,889/77,166.50
  6. Step 6: Final answer
    x = 135,929.99

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.