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Finding the Third Proportional to 78,319 and 171,946.50

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Solution

The third proportional to 78,319 and 171,946.50 is: 377,502.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,319 : 171,946.50 = 171,946.50 : x
  2. Step 2: Convert to fraction form
    78,319/171,946.50 = 171,946.50/x
  3. Step 3: Cross multiply
    78,319x = 171,946.50 × 171,946.50
  4. Step 4: Simplify right side
    78,319x = 29,565,598,862.25
  5. Step 5: Solve for x
    x = 29,565,598,862.25/78,319
  6. Step 6: Final answer
    x = 377,502.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.