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Finding the Third Proportional to 78,814.13 and 121,144.50

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Solution

The third proportional to 78,814.13 and 121,144.50 is: 186,210.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,814.13 : 121,144.50 = 121,144.50 : x
  2. Step 2: Convert to fraction form
    78,814.13/121,144.50 = 121,144.50/x
  3. Step 3: Cross multiply
    78,814.13x = 121,144.50 × 121,144.50
  4. Step 4: Simplify right side
    78,814.13x = 14,675,989,880.25
  5. Step 5: Solve for x
    x = 14,675,989,880.25/78,814.13
  6. Step 6: Final answer
    x = 186,210.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.