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Finding the Third Proportional to 78,297 and 104,881.50

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Solution

The third proportional to 78,297 and 104,881.50 is: 140,492.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,297 : 104,881.50 = 104,881.50 : x
  2. Step 2: Convert to fraction form
    78,297/104,881.50 = 104,881.50/x
  3. Step 3: Cross multiply
    78,297x = 104,881.50 × 104,881.50
  4. Step 4: Simplify right side
    78,297x = 11,000,129,042.25
  5. Step 5: Solve for x
    x = 11,000,129,042.25/78,297
  6. Step 6: Final answer
    x = 140,492.34

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.