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Finding the Third Proportional to 78,400.50 and 105,345

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Solution

The third proportional to 78,400.50 and 105,345 is: 141,549.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,400.50 : 105,345 = 105,345 : x
  2. Step 2: Convert to fraction form
    78,400.50/105,345 = 105,345/x
  3. Step 3: Cross multiply
    78,400.50x = 105,345 × 105,345
  4. Step 4: Simplify right side
    78,400.50x = 11,097,569,025
  5. Step 5: Solve for x
    x = 11,097,569,025/78,400.50
  6. Step 6: Final answer
    x = 141,549.72

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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.