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Finding the Third Proportional to 78,222 and 170,718.75

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Solution

The third proportional to 78,222 and 170,718.75 is: 372,592.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,222 : 170,718.75 = 170,718.75 : x
  2. Step 2: Convert to fraction form
    78,222/170,718.75 = 170,718.75/x
  3. Step 3: Cross multiply
    78,222x = 170,718.75 × 170,718.75
  4. Step 4: Simplify right side
    78,222x = 29,144,891,601.56
  5. Step 5: Solve for x
    x = 29,144,891,601.56/78,222
  6. Step 6: Final answer
    x = 372,592.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.